Relevant bibliographies by topics / Integrable quantum field theories

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Integrable quantum field theories'

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Published: 14 March 2023

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Journal articles on the topic "Integrable quantum field theories"

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Fioretto, Davide, and Giuseppe Mussardo. "Quantum quenches in integrable field theories." New Journal of Physics 12, no. 5 (May 28, 2010): 055015. http://dx.doi.org/10.1088/1367-2630/12/5/055015.

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BOSTELMANN, HENNING, GANDALF LECHNER, and GERARDO MORSELLA. "SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES." Reviews in Mathematical Physics 23, no. 10 (November 2011): 1115–56. http://dx.doi.org/10.1142/s0129055x11004539.

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Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is shown that massless scaling limit theories exist, and decompose into (twisted) tensor products of chiral, translation-dilation covariant field theories. On the subspace which is generated from the vacuum by the observables localized in finite light ray intervals, this symmetry can be extended to the Möbius group. The structure of the interval-localized algebras in the chiral models is discussed in two explicit examples.
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MARSHAKOV, A. "EXACT SOLUTIONS TO QUANTUM FIELD THEORIES AND INTEGRABLE EQUATIONS." Modern Physics Letters A 11, no. 14 (May 10, 1996): 1169–83. http://dx.doi.org/10.1142/s021773239600120x.

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The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented. In particular we consider in detail several examples of the appearance of solutions to the first-order integrable equations of hydrodynamical type and stress that all known examples can be treated as partial solutions to the same problem in the theory of integrable systems.
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Miramontes, J. Luis, and C. R. Fernández-Pousa. "Integrable quantum field theories with unstable particles." Physics Letters B 472, no. 3-4 (January 2000): 392–401. http://dx.doi.org/10.1016/s0370-2693(99)01444-6.

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Smirnov, F. A., and A. B. Zamolodchikov. "On space of integrable quantum field theories." Nuclear Physics B 915 (February 2017): 363–83. http://dx.doi.org/10.1016/j.nuclphysb.2016.12.014.

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Delfino, G., G. Mussardo, and P. Simonetti. "Non-integrable quantum field theories as perturbations of certain integrable models." Nuclear Physics B 473, no. 3 (August 1996): 469–508. http://dx.doi.org/10.1016/0550-3213(96)00265-9.

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Bostelmann, H., and D. Cadamuro. "An operator expansion for integrable quantum field theories." Journal of Physics A: Mathematical and Theoretical 46, no. 9 (February 15, 2013): 095401. http://dx.doi.org/10.1088/1751-8113/46/9/095401.

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Balog, J., M. Niedermaier, F. Niedermayer, A. Patrascioiu, E. Seiler, and P. Weisz. "The intrinsic coupling in integrable quantum field theories." Nuclear Physics B 583, no. 3 (September 2000): 614–70. http://dx.doi.org/10.1016/s0550-3213(00)00277-7.

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Mathur, Samir D. "Quantum Kac-Moody symmetry in integrable field theories." Nuclear Physics B 369, no. 1-2 (January 1992): 433–60. http://dx.doi.org/10.1016/0550-3213(92)90393-p.

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Lechner, Gandalf. "Deformations of Quantum Field Theories and Integrable Models." Communications in Mathematical Physics 312, no. 1 (December 3, 2011): 265–302. http://dx.doi.org/10.1007/s00220-011-1390-y.

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Dissertations / Theses on the topic "Integrable quantum field theories"

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Silk, James Brian. "Evaluation of correlation functions in integrable quantum field theories." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/4447/.

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The aim of this thesis is to explore correlation functions in two dimensional quantum field theories in two distinct ways. In part I a new method for calculating the differential equations parametrising the correlation functions of twist fields associated with the U (1) symmetry of the Dirac model is presented. While developing this method a new family of descendent twist fields are identified and their form factors calculated. This provides a novel way of calculating the vacuum expectation values of the primary twist fields and is shown to be entirely consistent with known results. The method of calculating the correlation functions of twist fields provides a parametrisation of several other correlation functions for various quantum states. Since this method relies on the Ward identities found in a double copy model it is hoped to have wider applications in other free fermion models. Part II concerns the truncated conformal space approach which has been developed to approximate perturbed conformal field theories. In this part the theory underpinning the approach is discussed and a working algorithm is developed for both bulk and boundary perturbed minimal models. The energy levels, mass gaps and one point functions of various models are computed using the truncated conformal space approach and are shown to be in good agreement with previous calculations. A possible method for using this approach to approximate two point functions in perturbed conformal field theories is discussed.
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Mattsson, Peter Aake. "Integrable quantum field theories, in the bulk and with a boundary." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4225/.

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In this thesis, we consider the massive field theories in 1+1 dimensions known as affine Toda quantum field theories. These have the special property that they possess an infinite number of conserved quantities, a feature which greatly simplifies their study, and makes extracting exact information about them a tractable problem. We consider these theories both in the full space (the bulk) and in the half space bounded by an impenetrable boundary at x = 0. In particular, we consider their fundamental objects: the scattering matrices in the bulk, and the reflection factors at the boundary, both of which can be found in a closed form. In Chapter 1, we provide a general introduction to the topic before going on, in Chapter 2, to consider the simplest ATFT—the sine-Gordon model—with a boundary. We begin by studying the classical limit, finding quite a clear picture of the boundary structure we can expect in the quantum case, which is introduced in Chapter 3. We obtain the bound-state structure for all integrable boundary conditions, as well as the corresponding reflection factors. This structure turns out to be much richer than had hitherto been imagined. We then consider more general ATFTs in the bulk. The sine-Gordon model is based on a(^(1))(_1), but there is an ATFT for any semi-simple Lie algebra. This underlying structure is known to show up in their S-matrices, but the path back to the parameters in the Lagrangian is still unclear. We investigate this, our main result being the discovery of a "generalised bootstrap" equation which explicitly encodes the Lie algebra into the S-matrix. This leads to a number of new S-matrix identities, as well as a generalisation of the idea that the conserved charges of the theory form an eigenvector of the Cartan matrix. Finally our results are summarised in Chapter 5, and possible directions for further study are highlighted.
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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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Belliard, Raphaël. "Geometry of integrable systems : from topological Lax systems to conformal field theories." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066175/document.

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Cette thèse de doctorat traite d’un cadre en géométrie complexe et de méthodes pouvant y être développées pour résoudre des ensembles d’équations différentielles compatibles venant de systèmes intégrables, classiques ou quantiques, dans le contexte de la géométrie d’espaces de modules de connexions au-dessus de courbes complexes, ou surfaces de Riemann. Elle vient de l’idée en physique mathématique que les symétries des systèmes intégrables imposent aux objets d’intérêt (fonctions de partitions ou de corrélations) des contraintes algébro-différentielles nommées équations de boucles. Le but est par la suite de résoudre ces contraintes par récurrence dans des régimes dits topologiques en utilisant une procédure nommée récurrence topologique. Leurs solutions sont en général les fonctions génératrices de quantités issues de problèmes de géométrie énumérative. Étant principalement déterminées par les conditions initiales de la récurrence, on produit au passage une classification algébro-géométrique de la famille de systèmes intégrables considérée
This PhD thesis is about a framework in complex geometry and methods thereof for solving sets of compatible differential equations arising from integrable systems, classical or quantum, in the context of the geometry of moduli spaces of connections over complex curves, or Riemann surfaces. It is based on the idea in mathematical Physics that integrable systems posess symmetries that impose algebro-differential constraints, so-called loop equations, on the objects of interest (e.g. partition or correlation functions). In turn, we intend to solve these constraints recursively in certain topological regimes using a particular procedure called the topological recursion. Their solutions are in general generating functions of enumerative-geometric quantities. Since they are for the most part determined by the initial data of the recursive process, it realizes in the making an algebro-geometric classification of the family of integrable models under consideration
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Longino, Brando. "Exact S-matrices for a class of 1+1-dimensional integrable factorized scattering theories with Uq(sl2) symmetry and arbitrary spins." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20542/.

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In this thesis we will study the S-matrices associated to a new class of (1+1)-dimensional integrable models with Uq(sl2) symmetry, whose asymptotic particle states organize into a k/2 isospin multiplet, with k= 0,1,2,... Such S-matrices generalize the case study previously analyzed by S. R. Aladim and M. J. Martins, where it was only investigated the non-deformed limit q→1 of pure SU(2) symmetry. We check that the proposed S-matrix satisfies the constraints due to the the Yang-Baxter equation, crossing-symmetry requirement and unitarity and therefore defines a self-consistent integrable factorized scattering theory.
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Parini, Robert Charles. "Classical integrable field theories with defects and near-integrable boundaries." Thesis, University of York, 2018. http://etheses.whiterose.ac.uk/20428/.

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In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations in the presence of a type I integrable defect are found, generalising the previously known soliton solutions. Elliptic (genus one) solutions where the defect induces only a phase shift are obtained via ansätze for the fields on each side of the defect. Algebro-geometric solutions for arbitrary genus and involving soliton emission by the defect are constructed using a Darboux transformation, exploiting the fact that the defect equations have the form of a Bäcklund transformation at a point. All the soliton and phase-shifted elliptic solutions to the defect equations are recovered as limits of the algebro-geometric solutions constructed in this way. Certain energy and momentum conserving defects for the Kadomtsev-Petviashvili equation are then presented as a first step towards the construction of integrable defects in higher dimensions. Algebro-geometric solutions to the sine-Gordon equation on the half-line with an integrable two parameter boundary condition are obtained by imposing a corresponding restriction on the Lax pair eigenfunction or, alternatively, as a Darboux transformation of the known algebro-geometric solution for the Dirichlet boundary. Finally, the collision of sine-Gordon solitons with a Robin type boundary is examined. This boundary is typically non-integrable but becomes an integrable Neumann or Dirichlet boundary for certain values of a boundary parameter. Depending on the boundary parameter and initial velocity an antikink may be reflected into various combinations of kinks, antikinks and breathers. The soliton content of the field after the collision is numerically determined by computing the discrete scattering data associated with the inverse scattering method. A highlight of this investigation is the discovery of an intricate structure of resonance windows caused by the production of a breather which can collide multiple times with the boundary before escaping as a lighter breather or antikink.
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Roa, Aguirre Alexis [UNESP]. "Type-II defects in integrable classical field theories." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/102532.

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Made available in DSpace on 2014-06-11T19:32:10Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-09-27Bitstream added on 2014-06-13T20:23:07Z : No. of bitstreams: 1 roaaguirre_a_dr_ift.pdf: 584228 bytes, checksum: a9374484aaeff9b04bf55be78fb96d03 (MD5)
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Nesta tese discutimos as propriedades de integrabilidade das teorias de campo clássicas em duas dimensões na presença de descontinuidades ou defeitos tipo-II, principalmente usando a linguagem do formalismo do espalhamento inverso. Um método geral para calcular a função geradora de um conjunto infinito de grandezas conservadas modificadas para qualquer equação de campo integrável é apresentado, uma vez que seus respetivos problemas lineares associados são dados e suas correspondentes matrices do defeito são calculadas. O método é aplicado no cálculo das contribuições dos defeitos para a energia e o momento para vários modelos e mostramos a relação entre as condições de defeito integráveis e suas respevtivas transformações de Bäcklund para cada modelo
In this thesis we discuss the integrability properties of two-dimensional classical field theories in the presence of discontinuities or type-II defects, mainly using the language of the inverses cattering approach. We present a general method to compute the generating function of an infinite set of modified conserved quantities for any integrable field equation givent heir associated linear problems and computing their corresponding defect matrices. We apply this method to derive in particular defect contributions to the energy and momentum for several models and show the relationship between the integrable defect conditions and the Bäcklund transformations for each model
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Roa, Aguirre Alexis. "Type-II defects in integrable classical field theories /." São Paulo, 2012. http://hdl.handle.net/11449/102532.

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Orientador: Abraham Hirsz Zimerman
Banca: Clisthenis Ponce Constantinidis
Banca: Harold Socrates Blas Achic
Banca: Andrei Mikhailov
Banca: Marcio José Martins
Resumo: Nesta tese discutimos as propriedades de integrabilidade das teorias de campo clássicas em duas dimensões na presença de descontinuidades ou defeitos tipo-II, principalmente usando a linguagem do formalismo do espalhamento inverso. Um método geral para calcular a função geradora de um conjunto infinito de grandezas conservadas modificadas para qualquer equação de campo integrável é apresentado, uma vez que seus respetivos problemas lineares associados são dados e suas correspondentes matrices do defeito são calculadas. O método é aplicado no cálculo das contribuições dos defeitos para a energia e o momento para vários modelos e mostramos a relação entre as condições de defeito integráveis e suas respevtivas transformações de Bäcklund para cada modelo
Abstract: In this thesis we discuss the integrability properties of two-dimensional classical field theories in the presence of discontinuities or type-II defects, mainly using the language of the inverses cattering approach. We present a general method to compute the generating function of an infinite set of modified conserved quantities for any integrable field equation givent heir associated linear problems and computing their corresponding defect matrices. We apply this method to derive in particular defect contributions to the energy and momentum for several models and show the relationship between the integrable defect conditions and the Bäcklund transformations for each model
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Hills, Daniel. "Generating boundary conditions for integrable field theories using defects." Thesis, University of York, 2016. http://etheses.whiterose.ac.uk/16379/.

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In this thesis, we examine the construction and characteristics of generalised reflection matrices, within the a_1^(1), a_2^(1) and a_2^(2) integrable affine Toda field theories. In doing so, we generalise the existing finite-dimensional reflection matrices because our construction involves the dressing of an integrable boundary with a defect. Within this framework, an integrable defect's ability to store an unlimited amount of topological charge is exploited, therefore all generalised solutions are intrinsically infinite-dimensional and exhibit interesting features. Overall, further evidence of the rich interplay between integrable defects and boundaries is provided. It is hoped that the generalised solutions presented in this thesis are potential quantum analogues of more general classical integrable boundary conditions.
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Evangelisti, Stefano <1983&gt. "Quantum Correlations in Field Theory and Integrable Systems." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amsdottorato.unibo.it/5161/1/Evangelisti_Stefano_Tesi.pdf.

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In this thesis we will investigate some properties of one-dimensional quantum systems. From a theoretical point of view quantum models in one dimension are particularly interesting because they are strongly interacting, since particles cannot avoid each other in their motion, and you we can never ignore collisions. Yet, integrable models often generate new and non-trivial solutions, which could not be found perturbatively. In this dissertation we shall focus on two important aspects of integrable one- dimensional models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum quench. The first part of the thesis will be therefore devoted to the study of the entanglement entropy in one- dimensional integrable systems, with a special focus on the XYZ spin-1/2 chain, which, in addition to being integrable, is also an interacting model. We will derive its Renyi entropies in the thermodynamic limit and its behaviour in different phases and for different values of the mass-gap will be analysed. In the second part of the thesis we will instead study the dynamics of correlators after a quantum quench , which represent a powerful tool to measure how perturbations and signals propagate through a quantum chain. The emphasis will be on the Transverse Field Ising Chain and the O(3) non-linear sigma model, which will be both studied by means of a semi-classical approach. Moreover in the last chapter we will demonstrate a general result about the dynamics of correlation functions of local observables after a quantum quench in integrable systems. In particular we will show that if there are not long-range interactions in the final Hamiltonian, then the dynamics of the model (non equal- time correlations) is described by the same statistical ensemble that describes its statical properties (equal-time correlations).
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Books on the topic "Integrable quantum field theories"

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Bonora, L., G. Mussardo, A. Schwimmer, L. Girardello, and M. Martellini, eds. Integrable Quantum Field Theories. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0.

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Ibort, L. A., and M. A. Rodríguez, eds. Integrable Systems, Quantum Groups, and Quantum Field Theories. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1980-1.

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GIFT, International Seminar on Recent Problems in Mathematical Physics (23rd 1992 Salamanca Spain). Integrable systems, quantum groups, and quantum field theories. Dordrecht: Kluwer Academic, 1993.

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Ibort, L. A. Integrable Systems, Quantum Groups, and Quantum Field Theories. Dordrecht: Springer Netherlands, 1993.

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G, Matinyan S., Gurzadyan V. G. 1955-, and Sedrakian A. G, eds. From integrable models to gauge theories: A volume in honor of Sergei Matinyan. River Edge, NJ: World Scientific, 2002.

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Z, Horváth, and Palla L, eds. Conformal field theories and integrable models: Lectures held at the Eötvös Graduate course, Budapest, Hungary 13-18 August 1996. Berlin: Springer, 1997.

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Iohara, Kenji. Symmetries, Integrable Systems and Representations. London: Springer London, 2013.

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Changrim, Ahn, Rim C, and Sasaki R, eds. Integrable quantum field theories and their applications: Proceedings of the APCTP Winter School : Cheju Island, Korea, 28 February-4 March 2000. River Edge, N.J: World Scientific, 2001.

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Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. Providence, R.I: American Mathematical Society, 2010.

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T, Inami, and Sasaki Ryu, eds. Quantum field theory, integrable models and beyond. Kyoto: Progress of Theoretical Physics, 1995.

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Book chapters on the topic "Integrable quantum field theories"

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Miwa, Tetsuji. "Quantum Affine Symmetry and Correlation Functions of the XXZ Model." In Integrable Quantum Field Theories, 1–14. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_1.

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Cecotti, Sergio. "Non-perturbative Computability vs. Integrability in Susy QFT’s." In Integrable Quantum Field Theories, 123–39. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_10.

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Zanon, D. "Quantum Integrability and Exact S-Matrices for Affine Toda Theories." In Integrable Quantum Field Theories, 141–56. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_11.

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Eguchi, Tohur. "Two-Dimensional Black Hole and the c = 1 Liouville Theory." In Integrable Quantum Field Theories, 157–67. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_12.

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Olive, David. "Affine Toda Solitons." In Integrable Quantum Field Theories, 169–71. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_13.

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Mussardo, G. "Correlation Functions in 2-Dimensional Integrable Quantum Field Theories." In Integrable Quantum Field Theories, 173–86. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_14.

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Alcaraz, Francisco C., and Vladimir Rittenberg. "Reaction-Diffusion Processes and Quantum Chains." In Integrable Quantum Field Theories, 187–216. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_15.

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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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Gervais, Jean-Loup. "The W-Geometry and Quantum-Group Structure of (Generalized) Two-Dimensional Gravities." In Integrable Quantum Field Theories, 235–55. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_17.

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Dijkgraaf, Robbert, Gregory Moore, and Ronen Plesser. "The Partition Function of 2D String Theory." In Integrable Quantum Field Theories, 257–81. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_18.

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Conference papers on the topic "Integrable quantum field theories"

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DOREY, PATRICK. "BOUNDARY INTEGRABLE QUANTUM FIELD THEORIES." In Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 24. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799968_0007.

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Cadamuro, Daniela. "Quantum energy inequalities in integrable quantum field theories." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0511.

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Miramontes, Luis J. "Unstable particles in integrable quantum field theories." In Non-perturbative Quantum Effects 2000. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.006.0036.

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Do Rego Monteiro, Marco Aurelio, V. B. Bezerra, and E. M. F. Curado. "Some remarks on a deformed quantum field theory." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0031.

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DOREY, PATRICK, CLARE DUNNING, and ROBERTO TATEO. "ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRABLE QUANTUM FIELD THEORIES." In Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 24. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799968_0008.

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RAVANINI, FRANCESCO. "FINITE SIZE EFFECTS IN INTEGRABLE QUANTUM FIELD THEORIES." In Proceedings of the Johns Hopkins Workshop on Current Problems in Particle Theory 24. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799968_0009.

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Fishman, Louis. "Symbol Analysis and the Construction of One-Way Forward and Inverse Wave Propagation Theories." In Numerical Simulation and Analysis in Guided-Wave Optics and Opto-Electronics. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/gwoe.1989.se3.

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The analysis and fast, accurate numerical computation of the wave equations of classical physics are often quite difficult for rapidly changing, multidimensional environments extending over many wavelengths. This is particularly so for ocean seismo-acoustic environments characterized by a refractive index field with a compact region of arbitrary (n-dimensional) variability superimposed upon a transversely inhomogeneous ((n-1)-dimensional) background profile. For such environments, the entire domain is in the scattering regime, with the subsequent absence of an “asymptotically free” region. While classical, macroscopic methods have resulted in direct wave field approximations, derivations of approximate wave equations, and discrete numerical approximations, mathematicians studying linear partial differential equations have developed a sophisticated, microscopic phase space analysis centered about the theory of pseudo-differential and Fourier integral operators. In conjunction with the global functional integral techniques pioneered by Wiener (Brownian motion) and Feynman (quantum mechanics), and so successfully applied today in quantum field theory and statistical physics, the n-dimensional classical physics propagators can be both represented explicitly and computed directly. The phase space, or microscopic, methods and path (functional) integral representations provide the appropriate framework to extend homogeneous Fourier methods to inhomogeneous environments, in addition to suggesting the basis for the formulation and solution of corresponding arbitrary-dimensional nonlinear inverse problems.
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Zuber, Jean-Bernard, and V. B. Petkova. "Boundary conditions in conformal and integrable theories." In Non-perturbative Quantum Effects 2000. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.006.0038.

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Miramontes, J. Luis. "Solitonic integrable perturbations of conformal field theories." In Trends in theoretical physics CERN-Santiago de Compostela-La Plata meeting. AIP, 1998. http://dx.doi.org/10.1063/1.54692.

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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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Reports on the topic "Integrable quantum field theories"

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Binger, Michael William, and /Stanford U., Phys. Dept. /SLAC. The Physical Renormalization of Quantum Field Theories. Office of Scientific and Technical Information (OSTI), February 2007. http://dx.doi.org/10.2172/899841.

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Nicolis, Alberto. Final Scientific/Technical Report-Quantum Field Theories for Cosmology. Office of Scientific and Technical Information (OSTI), March 2018. http://dx.doi.org/10.2172/1425341.

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Соловйов, Володимир Миколайович, and D. N. Chabanenko. Financial crisis phenomena: analysis, simulation and prediction. Econophysic’s approach. Гумбольдт-Клуб Україна, November 2009. http://dx.doi.org/10.31812/0564/1138.

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With the beginning of the global financial crisis, which attracts the attention of the international community, the inability of existing methods to predict the events became obvious. Creation, testing, adaptation of the models to the concrete financial market segments for the purpose of monitoring, early prediction, prevention and notification of financial crises is gaining currency nowadays. Econophysics is an interdisciplinary research field, applying theories and methods originally developed by physicists in order to solve problems in economics, usually those including uncertainty or stochastic processes and nonlinear dynamics. Its application to the study of financial markets has also been termed statistical finance referring to its roots in statistical physics. The new paradigm of relativistic quantum econophysics is proposed.
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Task A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. Progress report, July 1, 1991--June 30, 1992. Office of Scientific and Technical Information (OSTI), December 1992. http://dx.doi.org/10.2172/10103376.

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Task A, High Energy Physics Program experiment and theory: Task B, High Energy Physics Program numerical simulation of quantum field theories. [Particle Physics Group, Physics Dept. , The Florida State Univ. , Tallahassee]. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/6851536.

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