Academic literature on the topic 'Quantum theories as models of complexity'

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Journal articles on the topic "Quantum theories as models of complexity"

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Pagliaro, Gioacchino, and Linda Marconi. "The Holistic Mind: The Necessity Of A New Epistemology." Integral Transpersonal Journal 8, no. 8 (June 2016): 58. http://dx.doi.org/10.32031/itibte_itj_8-pgml3.

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In the second half of the last century the continuous development of hypotheses, theories and models from different disciplines has made several changes in the epistemological structure of cognitive science. This profoundly changed the mechanistic vision of the previous accepted model. The birth of a holistic epistemological paradigm-that considers the human body as a network of integrated communication- increases its relevance in Western scientific world, embracing a vision of close interconnection and interdependence between mind and body. The epistemology of complexity is the fundamental starting point for a proper study of human being and of human knowledge. In addition, it represents a meeting point between Eastern medical tradition and the current scientific conceptions from quantum physics, favoring the integration of care and prevention systems in psychology and medicine. KEYWORDS Epistemology, complexity, holism, extended mind, quantum physics.
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Chaves, Rafael, Daniel Cavalcanti, and Leandro Aolita. "Causal hierarchy of multipartite Bell nonlocality." Quantum 1 (August 4, 2017): 23. http://dx.doi.org/10.22331/q-2017-08-04-23.

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As with entanglement, different forms of Bell nonlocality arise in the multipartite scenario. These can be defined in terms of relaxations of the causal assumptions in local hidden-variable theories. However, a characterisation of all the forms of multipartite nonlocality has until now been out of reach, mainly due to the complexity of generic multipartite causal models. Here, we employ the formalism of Bayesian networks to reveal connections among different causal structures that make a both practical and physically meaningful classification possible. Our framework holds for arbitrarily many parties. We apply it to study the tripartite scenario in detail, where we fully characterize all the nonlocality classes. Remarkably, we identify new highly nonlocal causal structures that cannot reproduce all quantum correlations. This shows, to our knowledge, the strongest form of quantum multipartite nonlocality known to date. Finally, as a by-product result, we derive a non-trivial Bell-type inequality with no quantum violation. Our findings constitute a significant step forward in the understanding of multipartite Bell nonlocality and open several venues for future research.
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Crumpei, Gabriel, and Alina Gavriluţ. "Emergence, a Universal Phenomenon which Connects Reality to Consciousness, Natural Sciences to Humanities." Human and Social Studies 7, no. 2 (June 1, 2018): 89–106. http://dx.doi.org/10.2478/hssr-2018-0017.

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Abstract Progress in neuroscience has left a central question of psychism unanswered: what is consciousness? Modeling the psyche from a computational perspective has helped to develop cognitive neurosciences, but it has also shown their limits, of which the definition, description and functioning of consciousness remain essential. From Rene Descartes, who tackled the issue of psychism as the brain-mind dualism, to Chambers, who defined qualia as the tough, difficult problem of research in neuroscience, many hypotheses and theories have been issued to encompass the phenomenon of consciousness. Neuroscience specialists, such as Giulio Tononi or David Eagleman, consider consciousness as a phenomenon of emergence of all processes that take place in the brain. This hypothesis has the advantage of being supported by progress made in the study of complex systems in which the issue of emergence can be mathematically formalized and analyzed by physical-mathematical models. The current tendency to associate neural networks within the broad scope of network science also allows for a physical-mathematical formalization of phenomenology in neural networks and the construction of information-symbolic models. The extrapolation of emergence at the level of physical systems, biological systems and psychic systems can bring new models that can also be applied to the concept of consciousness. The meaning and significance that seem to structure the nature of consciousness is found as direction of evolution and teleological finality, of integration in the whole system and in any complex system at all scales. Starting from the wave-corpuscle duality in quantum physics, we can propose a model for structuring reality, based on the emergence of systems that contribute to the integration and coherence of the entire reality. Physical-mathematical models based mainly on (mereo)topology can provide a mathematical formalization path, and the paradigm of information could allow the development of a pattern of emergence, that is common to all systems, including the psychic system, the difference being given only by the degree of information complexity. Thus, the mind-brain duality, which has been dominating the representation on psychism for a few centuries, could be solved by an informational approach, describing the connection between object and subject, reality and human consciousness, between mind and brain, thus unifying the perspective on natural sciences and humanities.
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Goncharov, S. S., and B. Khoussainov. "Complexity of Categorical Theories with Computable Models." Algebra and Logic 43, no. 6 (November 2004): 365–73. http://dx.doi.org/10.1023/b:allo.0000048826.92325.02.

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Keski-Vakkuri, E., A. J. Niemi, G. Semenoff, and O. Tirkkonen. "Topological quantum theories and integrable models." Physical Review D 44, no. 12 (December 15, 1991): 3899–905. http://dx.doi.org/10.1103/physrevd.44.3899.

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Byrne, David, Raymond A. Eve, Sara Horsfall, Mary E. Lee, and Alan Dean. "Chaos, Complexity and Sociology: Myths, Models and Theories." British Journal of Sociology 49, no. 3 (September 1998): 501. http://dx.doi.org/10.2307/591399.

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Ageev, Dmitry. "Holography, quantum complexity and quantum chaos in different models." EPJ Web of Conferences 191 (2018): 06006. http://dx.doi.org/10.1051/epjconf/201819106006.

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This contribution to Quarks’2018 conference proceedings is based on the talk presenting papers [1, 2] at the conference. These papers are devoted to the holographic description of chaos and quantum complexity in the strongly interacting systems out of equilibrium. In the first part of the talk we present different holographic complexity proposals in out-of-equilibrium CFT following the local perturbation. The second part is devoted to the chaotic growth of the local operator at a finite chemical potential. There are numerous results stating that the chemical potential may lead to the chaos disappearance, and we confirm the results from holography.
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Witten, Edward. "Gauge theories, vertex models, and quantum groups." Nuclear Physics B 330, no. 2-3 (January 1990): 285–346. http://dx.doi.org/10.1016/0550-3213(90)90115-t.

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Jordan, Stephen P., Keith S. M. Lee, and John Preskill. "Quantum computation of scattering in scalar quantum field theories." Quantum Information and Computation 14, no. 11&12 (September 2014): 1014–80. http://dx.doi.org/10.26421/qic14.11-12-8.

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Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision. However, calculations of physical observables often require great computational complexity and can generally be performed only when the interaction strength is weak. A full understanding of the foundations and rich consequences of quantum field theory remains an outstanding challenge. We develop a quantum algorithm to compute relativistic scattering amplitudes in massive $\phi^4$ theory in spacetime of four and fewer dimensions. The algorithm runs in a time that is polynomial in the number of particles, their energy, and the desired precision, and applies at both weak and strong coupling. Thus, it offers exponential speedup over existing classical methods at high precision or strong coupling.
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RANDJBAR-DAEMI, S., ABDUS SALAM, and J. A. STRATHDEE. "σ-MODELS AND STRING THEORIES." International Journal of Modern Physics A 02, no. 03 (June 1987): 667–93. http://dx.doi.org/10.1142/s0217751x87000247.

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The propagation of closed bosonic strings interacting with background gravitational and dilaton fields is reviewed. The string is treated as a quantum field theory on a compact 2-dimensional manifold. The question is posed as to how the conditions for the vanishing trace anomaly and the ensuing background field equations may depend on global features of the manifold. It is shown that to the leading order in σ-model perturbation theory the string loop effects do not modify the gravitational and the dilaton field equations. However for the purely bosonic strings new terms involving the modular parameter of the world sheet are induced by quantum effects which can be absorbed into a re-definition of the background fields. We also discuss some aspects of several regularization schemes such as dimensional, Pauli-Villars and the proper-time cut off in an appendix.
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Dissertations / Theses on the topic "Quantum theories as models of complexity"

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Kitto, Kirsty, and Kirsty Kitto@flinders edu au. "Modelling and Generating Complex Emergent Behaviour." Flinders University. School of Chemistry, Physics and Earth Sciences, 2006. http://catalogue.flinders.edu.au./local/adt/public/adt-SFU20060626.132947.

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Despite a general recognition of the importance of complex systems, there is a dearth of general models capable of describing their dynamics. This is attributed to a complexity scale; the models are attempting to describe systems at different parts of the scale and are hence not compatible. We require new models capable of describing complex behaviour at different points of the complexity scale. This work identifies, and proceeds to examine systems at the high end of the complexity scale, those which have not to date been well understood by our current modelling methodology. It is shown that many such models exhibit what might be termed contextual dependency, and that it is precisely this feature which is not well understood by our current modelling methodology. A particular problem is discussed; our apparent inability to generate systems which display high end complexity, exhibited by for example the general failure of strong ALife. A new model, Process Physics, that has been developed at Flinders University is discussed, and arguments are presented that it exhibits high end complexity. The features of this model that lead to its displaying such behaviour are discussed, and the generalisation of this model to a broader range of complex systems is attempted.
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Mehraban, Saeed. "Computational complexity of certain quantum theories in 1+1 dimensions." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/101472.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 141-145).
While physical theories attempt to break down the observed structure and behavior of possibly large and complex systems to short descriptive axioms, the perspective of a computer scientist is to start with simple and believable set of rules to discover their large scale behaviors. Computer science and physics, however, can be combined into a new framework, wherein structures can be compared with each other according to scalar observables like mass and temperature, and also complexity at the same time. For example, similar to saying that one object is heavier than the other, we can discuss which system is more complex. According to this point of view, a more complex system can be interpreted as the one which can be programmed to encode and simulate the behavior of the others within its own degrees of freedom. Within this framework, at the most fundamental layer, physical systems are related to languages. In this thesis, I try to exemplify this point of view through an analysis of certain quantum theories in two dimensional space-time. In simple words, these models are the quantum analogues of elastic scattering of colored balls moving on a line. The models are closely related to each other in both relativistic and non-relativistic regimes. Physical examples that motivate this are the factorized scattering matrix of quantum field theory, and the repulsive delta interactions of quantum mechanics, in 1+1 dimensions. In classical mechanics, when two hard balls collide, they bounce off and remain in the same order. However, in the quantum setting, during a collision, either the balls bounce off, or otherwise they tunnel through each other, and exchange their configurations. Each event occurs with a certain probability. As a result, moving balls are put in a superposition of being in different color configurations. Thereby, if we consider n distinct balls, the state space is according to their n! possible arrangements, and their collisions act as quantum transpositions. Quantum transpositions can then be viewed as local quantum gates. I therefore consider the general Hilbert space of permutations, and study the space of unitary operators that can be generated by the local permuting gates. I first show that all of the discussed quantum theories can be programmed into an idealized model, the quantum ball permuting model, and then I will try to pin down the language of this model within the already known complexity classes. The main approach is to consider a series of models, as the variations of the ball scattering problem, and then to relate them to each other, using tools of computational complexity and quantum complexity theory. I find that the computational complexity of the ball permuting model depends on the initial superposition of the balls. More precisely, if the balls start out from the identity permutation, the model can be simulated in a one clean qubit, which is believed to be strictly weaker than the standard model of quantum computing. Given this upper-bound on the ball permuting model, the result is that the model of ball scatterings can be simulated within a one clean qubit, if they start out from an identity permutation. Furthermore, I will demonstrate that if special superpositions are allowed in the initial state, then the ball permuting model can efficiently simulate and sample from the output distribution of standard quantum computers. Next, I show how to use intermediate demolition ball detections to simulate the ball permuting model nondeterministically. According to this result, using post-selection on the outcome of these measurements, one obtains the original ball permuting model. Therefore, the post-selected analogue of ball scattering model can efficiently simulate standard quantum computers, when arbitrary initial superpositions are allowed. In the end, I formalize a quantum computer based on ball collisions and intermediate ball detections, and then I prove that the possibility of efficient simulation of this model on a classical computer is ruled out, unless the polynomial hierarchy collapses to its third level.
by Saeed Mehraban.
S.M.
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Koh, Dax Enshan. "Classical simulation complexity of restricted models of quantum computation." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122164.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 355-372).
Restricted models of quantum computation are mathematical models which describe quantum computers that have limited access to certain resources. Well-known examples of such models include the boson sampling model, extended Clifford circuits, and instantaneous quantum polynomial-time circuits. While unlikely to be universal for quantum computation, several of these models appear to be able to outperform classical computers at certain computational tasks, such as sampling from certain probability distributions. Understanding which of these models are capable of performing such tasks and characterizing the classical simulation complexity of these models--i.e. how hard it is to simulate these models on a classical computer--are some of the central questions we address in this thesis. Our first contribution is a classification of various extended Clifford circuits according to their classical simulation complexity.
Among these circuits are the conjugated Clifford circuits, which we prove cannot be efficiently classically simulated up to multiplicative or additive error, under certain plausible conjectures in computational complexity theory. Our second contribution is an estimate of the number of qubits needed in various restricted quantum computation models in order for them to be able to demonstrate quantum computational supremacy. Our estimate is obtained by fine-graining existing hardness results for these restricted models. Our third contribution is a new alternative proof of the Gottesman-Knill theorem, which states that Clifford circuits can be efficiently simulated by a classical computer. Our proof uses the sum-over-paths technique and establishes a correspondence between quantum circuits and a class of exponential sums. Our final contribution is a theorem characterizing the operations that can be efficiently simulated using a particular rebit simulator.
An application of this result is a generalization of the Gottesman-Knill theorem that allows for the efficient classical simulation of certain nonlinear operations.
"Funding support from the National Science Scholarship awarded by the Agency for Science, Technology and Research (A*STAR), Singapore, as well as the Enabling Practical-scale Quantum Computing (EPiQC) Expedition, an NSF expedition in computing"--Page 6.
by Dax Enshan Koh.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
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Nolland, David John. "Quantum field theories with fermions in the Schrödinger representation." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4410/.

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This thesis is concerned with the Schrödinger representation of quantum field theory. We describe techniques for solving the Schrödinger equation which supplement the standard techniques of field theory. Our aim is to develop these to the point where they can readily be used to address problems of current interest. To this end, we study realistic models such as gauge theories coupled to dynamical fermions. For maximal generality we consider particles of all physical spins, in various dimensions, and eventually, curved spacetimes. We begin by considering Gaussian fields, and proceed to a detailed study of the Schwinger model, which is, amongst other things, a useful model for (3+1) dimensional gauge theory. One of the most important developments of recent years is a conjecture by Mal-dacena which relates supergravity and string/M-theory on anti-de-Sitter spacetimes to conformal field theories on their boundaries. This correspondence has a natural interpretation in the Schrödinger representation, so we solve the Schrödinger equation for fields of arbitrary spin in anti-de-Sitter spacetimes, and use this to investigate the conjectured correspondence. Our main result is to calculate the Weyl anomalies arising from supergravity fields, which, summed over the supermultiplets of type JIB supergravity compactified on AdS(_s) x S(^5) correctly matches the anomaly calculated in the conjecturally dual N = 4 SU{N) super-Yang-Mills theory. This is one of the few existing pieces of evidence for Maldacena's conjecture beyond leading order in TV.
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Corrado, Richard Anthony. "Some aspects of the connection between field theories and gravity /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Gómez, Subils Javier. "Non-perturbative Aspects of Quantum Field Theories from Holography." Doctoral thesis, Universitat de Barcelona, 2021. http://hdl.handle.net/10803/672276.

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In this thesis we have employed the holographic duality to study the non-perturbative regime of a one-parameter family of theories with multi-scale dynamics. Normally, this (super)string theory motivated duality identifies gauge theories in flat space with string theories in a certain curved spacetime. Its relevance roots in its ability to relate the strongly-coupled regime of gauge theories with classical gravity governed by Einstein's equations. In the Introduction of the thesis, we have reviewed the main string theory ingredients that we used throughout the thesis and revisited some of the previous results which are the starting point of out study. In Chapter 2, we gather the explicit form of the supergravity solutions whose dual are the gauge theories of interest. These are three-dimensional gauge theories. Generically, they share the same physics at high energies, given by Yang-Mills and Chern-Simons interactions. Remarkably, when the low energy regime of the theories is studied, a rich variety of non-perturbative phenomenology is discovered. In particular, for a generic value of the parameter distinguishing the theories, they develop a mass gap in their spectrum. However, the two theories which are obtained at the limiting values of the parameter are special. On the one hand, the theory flows towards an infrarred fixed point, dual to a Conformal Field Theory. On the other hand, a confining theory is obtained, in the sense that the potential felt between quarks grows linearly with the distance between them for large separations. All these phenomena, together with the computation of the spectrum of spin-0 and spin-2 states, are studied in Chapter 3. The fact that in this system the Renormalisation Group flow can pass close to a Conformal Field Theory motivated the search of a light dilaton in the spectrum. But such light state was not found, the reason for that being that the values of the source and the vacuum expectation value that prevented the flow from finishing at the fixed point where of the same order. On top of that, in this Chapter some entanglement entropy measures were studied. This last investigation was motivated by the fact that in the literature some quantities extracted from such magnitudes where proposed as a probe for confinement. Our results show that, when these quantities are considered in our system, they are not able to discriminate between confining and non-confining gapped theories. Not only did we consider the theories at zero temperature case, but we also studied thermal states by constructing numerical black brane solutions in the gravity side. Black branes are very much like black holes, with the peculiarity that their surface extends in non-compact directions. Such solutions are discussed in Chapter 4. As a result, we understood their phase diagram, exhibiting a rich structure endowed with first and second order phase transitions, as well as a triple point where three phases coexist and a critical point where the second order phase transition takes place. Intrigued by the effect that the proximity of a Conformal Field Theory could have in the Renormalisation Group flow of a field theory, in Chapter 5 we carried out a study on complex Conformal Field Theories. We proposed their holographic dual, and analysed some of their properties in the strongly-coupled case. Finally, in Chapter 6, we studied transport coefficients in holographic theories which model Quantum Chromodynamics. We concluded that the holographic results are quite different from the ones obtained using perturbative techniques. These studies could have phenomenological consequences and find their application in astrophysical observations concerning neutron stars.
En esta tesis hemos utilizado la dualidad holográfica para entender el régimen no perturbativo de una familia uni-paramétrica de teorías con múltiples escalas. Primeramente, hemos repasado los ingredientes esenciales que necesitamos de teoría de cuerdas. A la vez, hemos introducimos algunos resultados previos que son el punto de partida de nuestras investigaciones. Tras dicha introducción, se recogen todas las soluciones de supergravedad duales a las teorías en tres dimensiones que estudiamos. Genéricamente, comparten la misma física a altas energías pero a bajas energías muestran una rica fenomenología. En particular, desarrollan un salto de masa en su espectro. Curiosamente, las teorías correspondientes a tomar los valores límites del parámetro son especiales. En un caso, la teoría fluye a una teoría de campos conforme. En el otro se obtiene una teoría confinante, con potencial lineal entre quarks. También se calcula el espectro de estados con espín 0 y espín 2. Además, se analizan diferentes medidas de entrelazamiento cuántico que en nuestro caso no son capaces de discriminar entre teorías con confinamiento y teorías con un salto de masa. Esto contrasta con algunas propuestas que se encuentran en la literatura. Adicionalmente hemos construido numéricamente soluciones de branas negras, que describen estados térmicos de las teorías. Hemos descubierto un diagrama de fases muy rico, con transiciones de fase de primer y segundo orden, junto a un punto crítico y un punto triple. Interesados por el efecto que una teoría conforme de campos pudiera tener si es cercana al flujo del grupo de renormalización de otra teoría, en el Capítulo 5 nos adentramos en el estudio de teorías conformes de campos complejas, dando su el dual holográfico. Finalmente, se calculan coeficientes de transporte en teorías holográficas que modelan Cromodinámica Quántica y que podrían tener consecuencias fenomenológicas en observaciones referentes a estrellas de neutrones.
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Volkholz, Jan. "Nonperturbative studies of quantum field theories on noncommutative spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2007. http://dx.doi.org/10.18452/15712.

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Diese Arbeit befasst sich mit Quantenfeldtheorien auf nicht-kommutativen Räumen. Solche Modelle treten im Zusammenhang mit der Stringtheorie und mit der Quantengravitation auf. Ihre nicht-störungstheoretische Behandlung ist üblicherweise schwierig. Hier untersuchen wir jedoch drei nicht-kommutative Quantenfeldtheorien nicht-perturbativ, indem wir die Wirkungsfunktionale in eine äquivalente Matrixformulierung übersetzen. In der Matrixdarstellung kann die jeweilige Theorie dann numerisch behandelt werden. Als erstes betrachten wir ein regularisiertes skalares Modell auf der nicht-kommutativen Ebene und untersuchen den Kontinuumslimes bei festgehaltener Nicht-Kommutativität. Dies wird auch als Doppelskalierungslimes bezeichnet. Insbesondere untersuchen wir das Verhalten der gestreiften Phase. Wir finden keinerlei Hinweise auf die Existenz dieser Phase im Doppelskalierungslimes. Im Anschluss daran betrachten wir eine vier-dimensionale U(1) Eichtheorie. Hierbei sind zwei der räumlichen Richtungen nicht-kommutativ. Wir untersuchen sowohl die Phasenstruktur als auch den Doppelskalierungslimes. Es stellt sich heraus, dass neben den Phasen starker und schwacher Kopplung eine weitere Phase existiert, die gebrochene Phase. Dann bestätigen wir die Existenz eines endlichen Doppelskalierungslimes, und damit die Renormierbarkeit der Theorie. Weiterhin untersuchen wir die Dispersionsrelation des Photons. In der Phase mit schwacher Kopplung stimmen unsere Ergebnisse mit störungstheoretischen Berechnungen überein, die eine Infrarot-Instabilität vorhersagen. Andererseits finden wir in der gebrochenen Phase die Dispersionsrelation, die einem masselosen Teilchen entspricht. Als dritte Theorie betrachten wir ein einfaches, in seiner Kontinuumsform supersymmetrisches Modell, welches auf der "Fuzzy Sphere" formuliert wird. Hier wechselwirken neutrale skalare Bosonen mit Majorana-Fermionen. Wir untersuchen die Phasenstruktur dieses Modells, wobei wir drei unterschiedliche Phasen finden.
This work deals with three quantum field theories on spaces with noncommuting position operators. Noncommutative models occur in the study of string theories and quantum gravity. They usually elude treatment beyond the perturbative level. Due to the technique of dimensional reduction, however, we are able to investigate these theories nonperturbatively. This entails translating the action functionals into a matrix language, which is suitable for numerical simulations. First we explore a scalar model on a noncommutative plane. We investigate the continuum limit at fixed noncommutativity, which is known as the double scaling limit. Here we focus especially on the fate of the striped phase, a phase peculiar to the noncommutative version of the regularized scalar model. We find no evidence for its existence in the double scaling limit. Next we examine the U(1) gauge theory on a four-dimensional spacetime, where two spatial directions are noncommutative. We examine the phase structure and find a new phase with a spontaneously broken translation symmetry. In addition we demonstrate the existence of a finite double scaling limit which confirms the renormalizability of the theory. Furthermore we investigate the dispersion relation of the photon. In the weak coupling phase our results are consistent with an infrared instability predicted by perturbation theory. If the translational symmetry is broken, however, we find a dispersion relation corresponding to a massless particle. Finally, we investigate a supersymmetric theory on the fuzzy sphere, which features scalar neutral bosons and Majorana fermions. The supersymmetry is exact in the limit of infinitely large matrices. We investigate the phase structure of the model and find three distinct phases. Summarizing, we study noncommutative field theories beyond perturbation theory. Moreover, we simulate a supersymmetric theory on the fuzzy sphere, which might provide an alternative to attempted lattice formulations.
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Riederer, Stéphane Jean. "D-theory formulation of quantum field theories and application to CP(N-1) models /." [S.l.] : [s.n.], 2006. http://www.zb.unibe.ch/download/eldiss/06riederer_sj.pdf.

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Muntean, Ioan Lucian. "Unification and explanation in early Kaluza-Klein theories." Diss., [La Jolla] : University of California, San Diego, 2009. http://wwwlib.umi.com/cr/ucsd/fullcit?p3369373.

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Thesis (Ph. D.)--University of California, San Diego, 2009.
Title from first page of PDF file (viewed September 17, 2009). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 444-468).
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Karabin, Svyatoslav. "Generalized hydrodynamics of a class of integrable quantum field theories with non-diagonal scattering." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18009/.

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In questo lavoro di tesi abbiamo analizzato alcuni modelli conformi con perturbazioni integrabili, in particolare il modello di Ising tri-critico e i successivi modelli minimali. Abbiamo costruito un protocollo che realizza questi modelli in un regime fuori dall'equilibrio termodinamico. Questo sistema è stato ottenuto connettendo due sistemi semi-infiniti termalizzati a due diverse temperature. In tempi e spazi grandi ci si aspetta che questo sistema evolva verso uno stato stazionario indipendente dal tempo. Le quantità fisiche di nostro interesse sono le correnti stazionarie generate in tale situazione. Per studiare questo sistema abbiamo utilizzato strumenti di integrabilità come il Bethe ansatz termodinamico, concetti di idrodinamica generalizzata e l'insieme di Gibbs generalizzato. Finora questo schema è stato formulato per le teorie di campo con un'interazione tra le particelle data da una matrice S diagonale, ovvero per i modelli con lo spettro di quasi-particelle prive di gradi di libertà interni. In questa tesi abbiamo proposto un'estensione di questo metodo a un modello dotato di uno spettro contenente quasi-particelle organizzate in multipletti di simmetrie e quindi dotate di gradi di libertà interni detti magnoni con processi d'urto descritti da matrici S non diagonali. Abbiamo quindi risolto numericamente le equazioni differenziali che descrivono il sistema di non equilibrio e abbiamo discusso questi risultati.
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Books on the topic "Quantum theories as models of complexity"

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Han, Haoying, ed. Urban complexity and planning: Theories and computer simulations. Burlington, VT: Ashgate Pub., 2012.

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Zak, Michail. From instability to intelligence: Complexity and predictability in nonlinear dynamics. Berlin: Springer, 1997.

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Carleton, DeTar, ed. Lattice methods for quantum chromodynamics. Singapore: World Scientific, 2006.

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author, DeTar Carleton joint, ed. Lattice methods for quantum chromodynamics. Hackensack, NJ: World Scientific, 2006.

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Suzuki, Sei. Quantum Ising Phases and Transitions in Transverse Ising Models. 2nd ed. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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International, School of Subnuclear Physics (44th 2006 Erice Italy). The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond : proceedings of the International School of Subnuclear Physics. Singapore: World Scientific, 2008.

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Antonino, Zichichi, ed. The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond : proceedings of the International School of Subnuclear Physics. Singapore: World Scientific, 2008.

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G, Bagrov V., ed. Vvedenie v kvantovui͡u︡ teorii͡u︡ strun i superstrun. Novosibirsk: "Nauka," Sibirskoe otd-nie, 1990.

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Vega, H. J. de 1949- and Sanchez N. 1952-, eds. String theory, quantum cosmology and quantum gravity: Integrable and conformal invariant theories : proceedings of the Paris-Meudon Colloquim, 22-26 September 1986. Singapore: World Scientific, 1987.

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Portugali, Juval. Complexity Theories of Cities Have Come of Age: An Overview with Implications to Urban Planning and Design. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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Book chapters on the topic "Quantum theories as models of complexity"

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Laumann, C. R., R. Moessner, A. Scardicchio, and S. L. Sondhi. "Statistical Mechanics of Classical and Quantum Computational Complexity." In Modern Theories of Many-Particle Systems in Condensed Matter Physics, 295–332. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-10449-7_7.

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Landsman, Klaas. "Classical models of quantum mechanics." In Fundamental Theories of Physics, 191–245. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51777-3_6.

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’t Hooft, Gerard. "Deterministic Models in Quantum Notation." In Fundamental Theories of Physics, 19–27. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41285-6_2.

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Dorey, Patrick. "Hidden Goemetrical Structures in Integrabel Models." In Integrable Quantum Field Theories, 83–97. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_7.

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Lukac, Martin, Michitaka Kameyama, Marek Perkowski, Pawel Kerntopf, and Claudio Moraga. "Fault Models in Reversible and Quantum Circuits." In Emergence, Complexity and Computation, 475–93. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-33924-5_19.

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Bishop, R. F., J. B. Parkinson, and Yang Xian. "Quantum Spin Lattice Models: A Coupled-Cluster Treatment." In Condensed Matter Theories, 37–62. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3686-4_3.

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Jackiw, R. "Higher Symmetries in Lower-Dimensional Models." In Integrable Systems, Quantum Groups, and Quantum Field Theories, 289–316. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1_7.

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Sotkov, Galen, and Marian Stanishkov. "Off — Critical W ∞ and Virasoro Algebras as Dynamical Symmetries of the Integrable Models." In Integrable Quantum Field Theories, 217–34. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_16.

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Ketov, Sergei V. "LEEA in 4d, N = 2 Gauge Field Theories." In Quantum Non-linear Sigma-Models, 295–345. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04192-5_8.

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Vega, H. J. "Quantum Groups, Integrable Theories, and Conformal Models." In Quantum Mechanics of Fundamental Systems 2, 43–57. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0797-6_5.

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Conference papers on the topic "Quantum theories as models of complexity"

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HUTTER, MARCUS. "OBSERVER LOCALIZATION IN MULTIVERSE THEORIES." In Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814335614_0069.

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Stroganov, Yuri, and F. C. Alcaraz. "Free fermion branches in some quantum spin models." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0037.

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Delius, Gustav Walter, and Alan George. "Quantum group symmetry of integrable models on the half-line." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0042.

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Faria da Veiga, Paulo Alfonso, and M. O'Carroll. "Staggering tranformations and the excitation spectrum of diverse lattice quantum models." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0011.

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Kwong, Nai H., Ilya Rumyantsev, Binder Rolf, and Arthur L. Smirl. "The connection between phenomenological few-level models and microscopic theories in the nonlinear optics of semiconductors." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/iqec.2004.iwa2.

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Baseilhac, Pascal. "From reflection amplitudes to one-point functions in non-simply laced affine Toda theories and applications to coupled minimal models." In Non-perturbative Quantum Effects 2000. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.006.0042.

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del Águila Ferrandis, José, Ricardo Zamora Rodríguez, Chryssostomos Chryssostomidis, and Luca Bonfiglio. "Influence of Viscosity and Non-Linearities in Predicting Motions of a Wind Energy Offshore Platform in Regular Waves." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78127.

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Abstract:
Motion prediction of floating bodies in waves represents one of the most challenging problems in naval hydrodynamics. The solution of the seakeeping problem involves the study of complex non-linear wave-body interactions that require large computational costs. For this reason, over the years many seakeeping models have been formulated in order to predict ship motions using simplified flow theories, usually based on potential flow theories solved within the linear assumption. Neglecting viscous effects in the computation of radiation forces might largely underestimate the energy dissipated by the system while moving at the free surface. This problem is particularly relevant for unconventional floating bodies at resonance. In these operating conditions the linear assumption is no longer valid and conventional Boundary Element Methods, solved in the frequency domain, might predict unrealistic large responses if not corrected with empirical damping coefficients. The application considered in this study is an offshore platform to be operated in a wind farm requiring operability even in extreme meteorological conditions. In this paper, we compare heave and pitch Response Amplitude Operators, predicted for an offshore platform using three different seakeeping models of increasing complexity; namely a frequency-domain BEM, a high-order BEM solved in time-domain and a non-linear fully viscous model based on the solution of the Unsteady Reynolds Averaged Navier-Stokes equations (URANS). Results are critically compared in terms of accuracy, applicability and computational costs.
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Saura-Mas, Sandra, Asunción Blanco-Romero, and Jaume Barrera. "Towards a transdisciplinary approach in the training of teachers: Creating procedures in learning and teaching in higher education." In Seventh International Conference on Higher Education Advances. Valencia: Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/head21.2021.13037.

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For decades we have been immersed in a constant change in our society, registered together with an increase in its degree of complexity. This greatly affects the currently prevailing educational axioms, making them obsolete, which implies, according to our hypothesis, the need for a process of revision and innovation of existing models. Our proposal starts from a bibliographic review of some existing proposals in innovation, to create a new pedagogical model based on polyhedral and transdisciplinary methodologies. At the same time, we offer a case study in a core subject of the first teacher training course at the Autonomous University of Barcelona. After the practical application of our transdisciplinary methodological theories, it has been possible to successfully collect evidence of a balanced interaction between disciplinary areas by students. The application of the innovations can become a frame of reference for higher education institutions interested in following this very important process of adaptation to social reality.
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Ceste, Tyler L., Sridhar Santhanam, and Gerard F. Jones. "Analysis of a Liquid Filled Poroelastic Cylinder Exposed to a Time Varying Pressure Load." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71006.

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Porous materials are of interest for a number of applications one of them being energy absorption. These materials offer the ability to absorb more energy than a typical metallic solid and thus provide an opportunity to improve the performance of structures that endure blast loads. These structures undergo very large loads in very short periods of time and therefore maximizing energy absorption is paramount. This study seeks to improve the understanding of the response of porous materials by developing both analytical and finite element models for a liquid filled porous cylinder exposed to a dynamic compression loading. The poroelastic cylinder consists of a porous metallic solid phase and a viscous liquid phase. These two phases provide for two mechanisms of energy dissipation which are that of the deformation of the solid and the viscous flow of the liquid. The theories of elasticity and porous media were used to formulate the governing equations for the liquid filled porous cylinder. These equations describe the coupling between the displacements of the solid cylinder and the pressure distribution of the liquid. Analytical and finite element models were developed to predict the cylinders response in order to determine the amount of energy absorbed when the cylinder is exposed to a dynamic compression load. Analytical models were developed to validate the finite element results. As more complexity is added to this problem an analytical approach becomes unviable and a finite element approach must be used. One such complexity that can be considered is the effect of utilizing a non-constant liquid viscosity, which requires developing a non-linear finite element model to account for the viscositys dependence on strain rate. This added non-linear effect should allow for additional viscous energy to be absorbed and thus can further enhance the performance of the system.
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Guseynov, Aleksandr, and Viktoriya Shipovskaya. "Development of scientific images about radicalization of protest activity of personality." In Safety psychology and psychological safety: problems of interaction between theorists and practitioners. «Publishing company «World of science», LLC, 2020. http://dx.doi.org/10.15862/53mnnpk20-02.

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The analysis of theories and models of radicalization existing in psychology and sociology is given. The complexity and transitivity of the world, the emerging methodological trends in psychology, the change of postmodern discourse to metamodernism require new psychological approaches to a research of this phenomenon, which can take into account the role of cultural factors and anthropological turn, as well as space and time as ontological constants of reality. Theoretical: theoretical and methodological analysis of scientific literature, comparison, generalization, interpretation. The paper summarizes a number of empirical studies of the authors related to the problems of extremism. The goal is to consider the evolution of ideas about the radicalization of protest activity and substantiate the high relevance of the subject-being approach to explain the problem of extremism. The authors distinguish six main theories and models that reveal the nature of radicalization: the theory of anomy (R. Merton), the theory of "relative deprivation" (T. Garr), the concept of an authoritarian personality (A. Adorno), a model of social identity in collective activity (M. Van Zomeren ), the model of radicalization (R. Borum), the model of radicalization (F. Mohaddam). The authors note the demand for a metamodern methodological strategy, which makes it possible to record personal transformations and construct new images of a person. The authors come to the conclusion that the substantive differences in approaches lie in the influence quantity of external determinants causing the emergence of radical attitudes. In the development of the theme of extremism, the main ones are the principle of the unity of the personality and its being, the methodological principle of subjectivity and the principle of uncertainty, which reveal additional nuances of the phenomenon that increases cognitive capabilities. The conditions of the subject-being approach are considered and the concept of protest activity is presented, based on the notions of "existential personal identity", "subjective activity", "subjectivity", revealing the reasons for negative transformation of personality, considering extremism as a violation of the developing configuration of identity. The subject-being approach to the personality is recognized as the most efficient theoretical and methodological basis for researching this problem, since it allows us to overcome the deficiency of the content given by the deterministic interpretation of radicalization.
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