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Статті в журналах з теми "Negativity quantum field theory"

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Blondeau-Fournier, Olivier, Olalla A. Castro-Alvaredo, and Benjamin Doyon. "Universal scaling of the logarithmic negativity in massive quantum field theory." Journal of Physics A: Mathematical and Theoretical 49, no. 12 (February 9, 2016): 125401. http://dx.doi.org/10.1088/1751-8113/49/12/125401.

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2

ZOU, YAN. "QUANTUM ENTANGLEMENT IN THE SYSTEM OF ATOMS IN BELL STATE INTERACTING WITH THE TWO-MODE ODD–EVEN ENTANGLED COHERENT FIELD." International Journal of Quantum Information 08, no. 03 (April 2010): 493–504. http://dx.doi.org/10.1142/s0219749910006010.

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We studied the entanglement properties of the system consisting of two atoms in Bell states interacting with the two-mode odd-even entangled coherent field by utilizing the complete quantum theory. The influences of the initial Bell state of the atoms, the intensity of field, the coupling strength of interaction between atoms and the initial degree of the entanglement between the two-mode fields on the atomic entropy and on negativity are discussed by using numerical calculations. It turns out that the two atoms can keep their initial maximal entangled state while the two-atom and the two-mode field keep their initial disentangled state if the two atoms are initially in |β11〉. Therefore, for the initial atomic state |β00〉 or |β01〉, the increasing of the field intensity can be a help to prepare the atom-field entanglement, and for |β10〉, it is beneficial for the atom–atom entanglement. Meanwhile, for the initial atomic state |β10〉 and |β01〉, strong coupling strength of interaction between atoms is beneficial for the atom–atom entanglement, but for |β00〉, it can be helpful for the atom-field entanglement.
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3

Arreyes, Facundo, Federico Escudero, and Juan Sebastián Ardenghi. "Correlations in twisted double-layer graphene with virtual photons in a microcavity." Journal of Physics: Condensed Matter 34, no. 11 (January 4, 2022): 115602. http://dx.doi.org/10.1088/1361-648x/ac4400.

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Abstract We analyze the entanglement generation of a system composed of two decoupled rotated graphene layers inside a planar microcavity. By considering the electromagnetic field of the cavity in the vacuum state and using time-dependent perturbation theory it is possible to obtain the range of geometric parameters at which the quantum states of electrons in different layers are entangled. By employing the negativity measure, correlations between layers are obtained for time scales smaller than the light-crossing time of the layers. It is shown that the negativity measure is modulated by the rotation angle between layers, allowing manipulation of X states. Finally, an experimental protocol is analyzed in order to detect non-causal effects between layers, by allowing back-voltage switching functions in the two layers with supports that do not overlap in time. By turning off the second-back voltage at a time smaller than the light-crossing time, it is possible to obtain correlations between layers through the independent interaction with virtual photons. The exchange of virtual photons implies that the propagator can be nonzero outside the light cone and this non-causal propagation can create entangled quantum states.
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4

Alexander, Helder, I. G. da Paz, and Marcos Sampaio. "Entanglement between two scalar fields in an expanding spacetime." Modern Physics Letters A 32, no. 19 (May 25, 2017): 1750104. http://dx.doi.org/10.1142/s0217732317501048.

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We study the evolution of two scalar fields entangled via a mutual interaction in an expanding spacetime. We compute the logarithmic negativity to leading order in perturbation theory and show that for the lowest order in the coupling constants, the mutual interaction will give rise to the survival of the quantum correlations in the limit of the smooth expansion. The results suggest that interacting fields can codify more information about the underlying expansion spacetime and lead to interesting observable effects.
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Ivády, Viktor, Joel Davidsson, Nguyen Tien Son, Takeshi Ohshima, Igor A. Abrikosov, and Ádám Gali. "Ab Initio Theory of Si-Vacancy Quantum Bits in 4H and 6H-SiC." Materials Science Forum 924 (June 2018): 895–900. http://dx.doi.org/10.4028/www.scientific.net/msf.924.895.

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Point defects in wide band gap semiconductors have recently shown outstanding potential for implementing room temperature quantum bits and single photon emitters. These atomic scale tools can be used in various quantum information processing, sensing, and imaging applications. Silicon vacancy related photoluminescence centers in 4H, 6H, and 15R-SiC are among the most studied quantum bits that possess a particular spin-3/2 ground and excited state. The microscopic structures of these defects have been recently identified as isolated negatively charged silicon vacancy defects at the symmetrically non-equivalent silicon sites in SiC. Relying on this identification, here we carry out high precision ab initio simulations on negatively charged silicon vacancies in 4H and 6H-SiC and calculate the most important magneto-optical data, such as the zero-phonon photoluminescence energies, the zero-field-splitting, and the hyperfine tensors for the nearest and farther nuclear spins.
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Gali, Adam. "Excitation Properties of Silicon Vacancy in Silicon Carbide." Materials Science Forum 717-720 (May 2012): 255–58. http://dx.doi.org/10.4028/www.scientific.net/msf.717-720.255.

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Isolated point defects possessing high spin ground state and below-band-gap excitation may play a key role in realizing solid state quantum bits in semiconductors which are the basic building blocks of quantum computers. Silicon vacancy in silicon carbide provides these features making it a feasible candidate in this special and emerging field of science. However, it has been not clarified what is the exact nature of the luminescence of silicon vacancy detected in hexagonal polytypes. This is the first crucial step needed to understand this basic defect in silicon carbide. We report density functional theory based calculations on silicon vacancy defect. Based on the obtained results we identify the silicon vacancy related photoluminescence signals with the negatively charged defect.
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Tribollet, Jérôme. "Hybrid nanophotonic-nanomagnonic SiC-YiG quantum sensor: I/theoretical design and properties." European Physical Journal Applied Physics 90, no. 2 (May 2020): 20102. http://dx.doi.org/10.1051/epjap/2020200062.

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Here I present the theory of a new hybrid paramagnetic-ferrimagnetic SiC-YiG quantum sensor. It is designed to allow sub-nanoscale single external spin sensitivity optically detected pulsed electron electron double resonance spectroscopy, using an X band pulsed EPR spectrometer and an optical fiber. The sensor contains one single V2 negatively charged silicon vacancy color center in 4H-SiC, whose photoluminescence is waveguided by a 4H-SiC nanophotonic structure towards an optical fiber. This V2 spin probe is created by ion implantation at a depth of few nanometers below the surface, determined by optically detected paramagnetic resonance under the strong magnetic field gradient of a YiG ferrimagnetic nanostripe located on the back-side of the nanophotonic structure. This gradient also allow the study, slice by slice at nanoscale, of the target paramagnetic sample. The fabrication process of this quantum sensor, its magnetic and optical properties, its external spins sensing properties in a structural biology context, and its integration to a standard commercially available pulsed EPR spectrometer are all presented here.
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8

Mouslih, S., M. Jakha, I. Dahiri, S. Taj, B. Manaut, and E. Siher. "New phenomena in laser-assisted leptonic decays of the negatively charged boson W ." Physica Scripta 97, no. 4 (March 24, 2022): 045306. http://dx.doi.org/10.1088/1402-4896/ac5d6e.

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Abstract The majority of studies and experiments performed at electron-positron colliders over the last two decades have focused on studying W and Z weak force-carrying bosons and accurately measuring all their properties, not only because they play an important role in establishing Standard Model theory and providing an accurate test of its predictions of particle interactions, but also because they are a unique tool for probing manifestations of the new physics beyond the standard model. Therefore, it would be particularly important to discuss some of the new phenomena and changes that can arise in these bosons when their decay occurs under an external electromagnetic field. In a recent paper, we investigated the laser effect on the final products of Z boson decay and found that laser had an unprecedented effect on branching ratios. In this work and within the standard Glashow-Weinberg-Salam model of electroweak interactions, we study theoretically the leptonic decay of the W −-boson ( W − → ℓ − ν ¯ ℓ ) in the presence of a circularly polarized electromagnetic field and we examine the laser effect, in terms of its field strength and frequency, on the leptonic decay rate and the phenomenon of multiphoton processes. The calculations are carried out using the exact relativistic wave functions of charged particles in an electromagnetic field. It was found that the laser significantly contributed to reducing the probability of W −-boson decay. We show that the laser-assisted decay rate is equal to the laser-free one only when the famous Kroll-Watson sum rule is fulfilled. The notable effect of the laser on the leptonic decay rate was reasonably interpreted by the well-known quantum Zeno effect or by the opening of channels other than leptonic ones to decay. This work will pave the way for an upcoming one to study the hadronic decay of the W −-boson and then explore the laser effect on its lifetime and branching ratios.
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Ghannadan, Azadeh, and Jozef Strečka. "Magnetic-Field-Orientation Dependent Thermal Entanglement of a Spin-1 Heisenberg Dimer: The Case Study of Dinuclear Nickel Complex with an Uniaxial Single-Ion Anisotropy." Molecules 26, no. 11 (June 5, 2021): 3420. http://dx.doi.org/10.3390/molecules26113420.

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The bipartite entanglement in pure and mixed states of a quantum spin-1 Heisenberg dimer with exchange and uniaxial single-ion anisotropies is quantified through the negativity in a presence of the external magnetic field. At zero temperature the negativity shows a marked stepwise dependence on a magnetic field with two abrupt jumps and plateaus, which can be attributed to the quantum antiferromagnetic and quantum ferrimagnetic ground states. The magnetic-field-driven phase transition between the quantum antiferromagnetic and quantum ferrimagnetic ground states manifests itself at nonzero temperatures by a local minimum of the negativity, which is followed by a peculiar field-induced rise of the negativity observable in a range of moderately strong magnetic fields. The rising temperature generally smears out abrupt jumps and plateaus of the negativity, which cannot be distinguished in the relevant dependencies above a certain temperature. It is shown that the thermal entanglement is most persistent against rising temperature at the magnetic field, for which an energy gap between a ground state and a first excited state is highest. Besides, temperature variations of the negativity of the spin-1 Heisenberg dimer with an easy-axis single-ion anisotropy may exhibit a singular point-kink, at which the negativity has discontinuity in its first derivative. The homodinuclear nickel complex [Ni2(Medpt)2(μ-ox)(H2O)2](ClO4)2·2H2O provides a suitable experimental platform of the antiferromagnetic spin-1 Heisenberg dimer, which allowed us to estimate a strength of the bipartite entanglement between two exchange-coupled Ni2+ magnetic ions on the grounds of the interaction constants reported previously from the fitting procedure of the magnetization data. It is verified that the negativity of this dinuclear compound is highly magnetic-field-orientation dependent due to presence of a relatively strong uniaxial single-ion anisotropy.
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Calabrese, Pasquale, John Cardy, and Erik Tonni. "Finite temperature entanglement negativity in conformal field theory." Journal of Physics A: Mathematical and Theoretical 48, no. 1 (December 8, 2014): 015006. http://dx.doi.org/10.1088/1751-8113/48/1/015006.

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Дисертації з теми "Negativity quantum field theory"

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Oeckl, Robert. "Quantum geometry and Quantum Field Theory." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621912.

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Gupta, Neha. "Homotopy quantum field theory and quantum groups." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/38110/.

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The thesis is divided into two parts one for dimension 2 and the other for dimension 3. Part one (Chapter 3) of the thesis generalises the definition of an n-dimensional HQFT in terms of a monoidal functor from a rigid symmetric monoidal category X-Cobn to any monoidal category A. In particular, 2-dimensional HQFTs with target K(G,1) taking values in A are generated from any Turaev G-crossed system in A and vice versa. This is the generalisation of the theory given by Turaev into a purely categorical set-up. Part two (Chapter 4) of the thesis generalises the concept of a group-coalgebra, Hopf group-coalgebra, crossed Hopf group-coalgebra and quasitriangular Hopf group-coalgebra in the case of a group scheme. Quantum double of a crossed Hopf group-scheme coalgebra is constructed in the affine case and conjectured for the more general non-affine case. We can construct 3-dimensional HQFTs from modular crossed G-categories. The category of representations of a quantum double of a crossed Hopf group-coalgebra is a ribbon (quasitriangular) crossed group-category, and hence can generate 3-dimensional HQFTs under certain conditions if the category becomes modular. However, the problem of systematic finding of modular crossed G-categories is largely open.
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Poletti, Stephen John. "Geometry, quantum field theory and quantum cosmology." Thesis, University of Newcastle Upon Tyne, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315921.

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Kerr, Steven. "Topological quantum field theory and quantum gravity." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/14094/.

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This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a 1-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories quantisation of the gauge gravity theory in 2+1 dimensions is then carried out for a particular class of triangulations of the three-sphere. The preliminary stage of the Hamiltonian analysis for the (3+1)-dimensional gauge gravity theory is undertaken.
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Ivin, Marko. "Topics in quantum field theory." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.410042.

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Russell, I. H. "Calculations in quantum field theory." Thesis, University of Newcastle Upon Tyne, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328134.

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Rondelli, Andrea. "Functional methods in quantum field theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15839/.

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Iniziamo introducendo l'integrazione su manifold di Hilbert, tramite l'approssimazione dello spazio tangente alla varietà. Passiamo poi a descrivere due tecniche per regolarizzare integrali funzionali o di cammino quadratici (che presentano un laplaciano nell'azione): la regolarizzazione e rinormalizzazione tramite zeta function e il cutoff nel tempo proprio. Cerchiamo di confrontare i due diversi risultati (finiti) così ottenuti. Sussessivamente applichiamo l'integrazione funzionale agli integrali di cammino usando il formalismo della quantizzazione in qp-simboli ottenendo così un'ampiezza di probabilità. Infine iniziamo a sviluppare questi argomenti per le teorie di gauge. In particolare ci soffermeremo su vari aspetti geometrici dei campi di gauge, quali la connessione e la curvatura (usando il formalismo dei fibrati). In ultimo introduciamo l'integrazione funzionale per le teorie di gauge.
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at, Andreas Cap@esi ac. "Quantum Field Theory as Dynamical System." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1055.ps.

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Mazur, Daniel Paul. "Nonperturbative quantum field theory in astrophysics." Thesis, University of British Columbia, 2012. http://hdl.handle.net/2429/43255.

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The extreme electromagnetic or gravitational fields associated with some astrophysical objects can give rise to macroscopic effects arising from the physics of the quantum vacuum. Therefore, these objects are incredible laboratories for exploring the physics of quantum field theories. In this dissertation, we explore this idea in three astrophysical scenarios. In the early universe, quantum fluctuations of a scalar field result in the generation of particles, and of the density fluctuations which seed the large- scale structure of the universe. These fluctuations are generated through quantum processes, but are ultimately treated classically. We explore how a quantum-to-classical transition may occur due to non-linear self-interactions of the scalar field. This mechanism is found to be too inefficient to explain classicality, meaning fields which do not become classical because of other mechanisms may maintain some evidence of their quantum origins. Magnetars are characterized by intense magnetic fields. In these fields, the quantum vacuum becomes a non-linear optical medium because of interactions between light and quantum fluctuations of electron-positron pairs. In addition, there is a plasma surrounding the magnetar which is a dissipative medium. We construct a numerical simulation of electromagnetic waves in this environment which is non-perturbative in the wave amplitudes and background field. This simulation reveals a new class of waves with highly non-linear structure that are stable against shock formation. The dense nuclear material in a neutron star is expected to be in a type-II superconducting state. In that case, the star’s intense magnetic fields will penetrate the core and crust through a dense lattice of flux tubes. However, depending on the details of the free energy associated with these flux tubes, the nuclear material may be in a type-I state which completely expels the field. We compute the quantum corrections to the classical energies of these flux tubes by creating a new, massively parallel Monte-Carlo simulation. The quantum contribution tends to make a small contribution which adds to the classical free energy. We also find a non-local interaction energy with a sign that depends on the field profile and spacing between flux tubes.
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O'Donald, Lewis John. "Twistor diagrams and quantum field theory." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306032.

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Книги з теми "Negativity quantum field theory"

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Quantum Field Theory. Cambridge [Cambridgeshire]: Cambridge University Press, 1988.

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2

Mandl, F. Quantum field theory. 2nd ed. Hoboken, N.J: Wiley, 2010.

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3

Ryder, Lewis H. Quantum field theory. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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4

Itzykson, Claude. Quantum field theory. Maidenhead: McGraw-Hill, 1985.

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5

Padmanabhan, Thanu. Quantum Field Theory. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28173-5.

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Jaffe, Arthur, Harry Lehmann, and Gerhard Mack, eds. Quantum Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70307-2.

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Fauser, Bertfried, Jürgen Tolksdorf, and Eberhard Zeidler, eds. Quantum Field Theory. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8736-5.

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Breitenlohner, Peter, and Dieter Maison, eds. Quantum Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44482-3.

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9

Ryder, Lewis H. Quantum field theory. Cambridge: CUP, 1986.

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10

Nishijima, Kazuhiko. Quantum Field Theory. Edited by Masud Chaichian and Anca Tureanu. Dordrecht: Springer Netherlands, 2023. http://dx.doi.org/10.1007/978-94-024-2190-3.

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Частини книг з теми "Negativity quantum field theory"

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Glimm, James, and Arthur Jaffe. "Field Theory." In Quantum Physics, 90–121. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4728-9_6.

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2

Allday, Jonathan. "Quantum Field Theory." In Quantum Reality, 443–68. 2nd ed. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003225997-36.

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’t Hooft, Gerard. "Quantum Field Theory." In Fundamental Theories of Physics, 245–60. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41285-6_20.

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Schwichtenberg, Jakob. "Quantum Field Theory." In Undergraduate Lecture Notes in Physics, 205–26. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19201-7_9.

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Wilczek, Frank. "Quantum Field Theory." In Compendium of Quantum Physics, 549–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70626-7_165.

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Vaid, Deepak, and Sundance Bilson-Thompson. "Quantum Field Theory." In LQG for the Bewildered, 15–27. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43184-0_3.

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Kuhlmann, Meinard, and Manfred Stöckler. "Quantum Field Theory." In The Philosophy of Quantum Physics, 221–62. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78356-7_6.

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Di Francesco, Philippe, Pierre Mathieu, and David Sénéchal. "Quantum Field Theory." In Graduate Texts in Contemporary Physics, 15–59. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-2256-9_2.

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Schwichtenberg, Jakob. "Quantum Field Theory." In Undergraduate Lecture Notes in Physics, 209–31. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66631-0_9.

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Rajasekar, S., and R. Velusamy. "Quantum Field Theory." In Quantum Mechanics II, 1–32. 2nd ed. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003172192-1.

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Тези доповідей конференцій з теми "Negativity quantum field theory"

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Khrennikov, Andrei, Guillaume Adenier, Andrei Yu Khrennikov, Pekka Lahti, Vladimir I. Man'ko, and Theo M. Nieuwenhuizen. "Prequantum Classical Statistical Field Theory—PCSFT." In Quantum Theory. AIP, 2007. http://dx.doi.org/10.1063/1.2827293.

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FASSIHI, MOHAMMAD. "CONFINED QUANTUM FIELD THEORY." In Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF). World Scientific Publishing Company, 2006. http://dx.doi.org/10.1142/9789812704030_0292.

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Das, S., A. Dhar, S. Mukhi, A. Raina, and A. Sen. "Modern Quantum Field Theory." In International Colloquium on Modern Quantum Field Theory. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814540490.

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STERMAN, GEORGE. "PERTURBATIVE QUANTUM FIELD THEORY." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0022.

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FREDENHAGEN, KLAUS. "Locally covariant quantum field theory." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0004.

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Itoyama, H., M. Kaku, H. Kunitomo, M. Ninomiya, and H. Shirokura. "FRONTIERS IN QUANTUM FIELD THEORY." In International Physics Conference. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814530668.

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Das, S. R., G. Mandal, S. Mukhi, and S. R. Wadia. "Modern Quantum Field Theory II." In International Colloquium on Modern Quantum Field Theory II. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814532242.

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8

Tchrakian, D. H. "Topics in Quantum Field Theory." In Topics in the Theories of Fundamental Interactions. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814532440.

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9

Oeckl, Robert. "Reverse engineering quantum field theory." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773160.

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Bender, Carl M., Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "PT-Symmetric Quantum Field Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636813.

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Звіти організацій з теми "Negativity quantum field theory"

1

Jafferis, Daniel. Topics in string theory, quantum field theory and quantum gravity. Office of Scientific and Technical Information (OSTI), March 2021. http://dx.doi.org/10.2172/1846570.

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2

Jaffe, Arthur M. "Quantum Field Theory and QCD". Office of Scientific and Technical Information (OSTI), February 2006. http://dx.doi.org/10.2172/891184.

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3

Caldi, D. G. Studies in quantum field theory. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/10165764.

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4

Hirshfeld, Allen. Deformation Quantization in Quantum Mechanics and Quantum Field Theory. GIQ, 2012. http://dx.doi.org/10.7546/giq-4-2003-11-41.

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5

Carena, Marcella, and et al. QIS for Applied Quantum Field Theory. Office of Scientific and Technical Information (OSTI), March 2020. http://dx.doi.org/10.2172/1606412.

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6

Bern, Z. Continuum regularization of quantum field theory. Office of Scientific and Technical Information (OSTI), April 1986. http://dx.doi.org/10.2172/7104107.

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7

Lawrence, Albion, Matthew Headrick, Howard Schnitzer, Bogdan Stoica, Djordje Radicevic, Harsha Hampapura, Andrew Rolph, Jonathan Harper, and Cesar Agon. Research in Quantum Field Theory, Cosmology, and String Theory. Office of Scientific and Technical Information (OSTI), March 2020. http://dx.doi.org/10.2172/1837060.

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8

Rammsdonk, Mark van. Quantum Hall Physics Equals Noncommutive Field Theory. Office of Scientific and Technical Information (OSTI), August 2001. http://dx.doi.org/10.2172/787180.

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9

Alford, Mark G., Carl M. Bender, Claude W. Bernard, James H. Buckley, Francesc Ferrer, Henric S. Krawczynski, and Michael C. Ogilvie. Studies in Quantum Field Theory and Astroparticle Physics. Office of Scientific and Technical Information (OSTI), July 2014. http://dx.doi.org/10.2172/1135921.

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10

Goldin, Gerald A., and David H. Sharp. Diffeomorphism Group Representations in Relativistic Quantum Field Theory. Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1415360.

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