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

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

Pagliaro, Gioacchino, and Linda Marconi. "The Holistic Mind: The Necessity Of A New Epistemology." Integral Transpersonal Journal 8, no. 8 (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 st

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2

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

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3

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 (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.

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4

Goncharov, S. S., and B. Khoussainov. "Complexity of Categorical Theories with Computable Models." Algebra and Logic 43, no. 6 (2004): 365–73. http://dx.doi.org/10.1023/b:allo.0000048826.92325.02.

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5

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

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6

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 (1998): 501. http://dx.doi.org/10.2307/591399.

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7

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 dis

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8

Witten, Edward. "Gauge theories, vertex models, and quantum groups." Nuclear Physics B 330, no. 2-3 (1990): 285–346. http://dx.doi.org/10.1016/0550-3213(90)90115-t.

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9

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 (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 dimen

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10

RANDJBAR-DAEMI, S., ABDUS SALAM та J. A. STRATHDEE. "σ-MODELS AND STRING THEORIES". International Journal of Modern Physics A 02, № 03 (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 p

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11

BELIAKOVA, ANNA. "SPIN TOPOLOGICAL QUANTUM FIELD THEORIES." International Journal of Mathematics 09, no. 02 (1998): 129–52. http://dx.doi.org/10.1142/s0129167x98000099.

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Starting from the quantum group [Formula: see text], we construct operator invariants of 3-cobordisms with spin structure, satisfying the requirements of a topological quantum field theory and refining the Reshetikhin–Turaev and Turaev–Viro models. We establish the relationship between these two refined theories.

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12

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

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13

Horan, Barbara L. "Theoretical Models, Biological Complexity and the Semantic View of Theories." PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988, no. 2 (1988): 265–77. http://dx.doi.org/10.1086/psaprocbienmeetp.1988.2.192889.

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14

RAST, RICHARD, and DAVENDER SINGH SAHOTA. "THE BOREL COMPLEXITY OF ISOMORPHISM FOR O-MINIMAL THEORIES." Journal of Symbolic Logic 82, no. 2 (2017): 453–73. http://dx.doi.org/10.1017/jsl.2017.17.

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AbstractGiven a countable o-minimal theory T, we characterize the Borel complexity of isomorphism for countable models of T up to two model-theoretic invariants. If T admits a nonsimple type, then it is shown to be Borel complete by embedding the isomorphism problem for linear orders into the isomorphism problem for models of T. This is done by constructing models with specific linear orders in the tail of the Archimedean ladder of a suitable nonsimple type.If the theory admits no nonsimple types, then we use Mayer’s characterization of isomorphism for such theories to compute invariants for c

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15

BOSTELMANN, HENNING, GANDALF LECHNER, and GERARDO MORSELLA. "SCALING LIMITS OF INTEGRABLE QUANTUM FIELD THEORIES." Reviews in Mathematical Physics 23, no. 10 (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 algeb

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16

De VEGA, H. J. "YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS." International Journal of Modern Physics A 04, no. 10 (1989): 2371–463. http://dx.doi.org/10.1142/s0217751x89000959.

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The Yang-Baxter-Zamolodchikov-Faddeev (YBZF) algebras and their many applications are the subject of this reivew. I start by the solvable lattice statistical models constructed from YBZF algebras. All two-dimensional integrable vertex models follow in this way and are solvable via Bethe Ansatz (BA) and their generalizations. The six-vertex model solution and its q(2q−1) vertex generalization including its nested BA construction are exposed. YBZF algebras and their associated physical models are classified in terms of simple Lie algebras. It is shown how these lattice models yield both solvable

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17

Chandrasekharan, S., and U. J. Wiese. "Quantum link models: A discrete approach to gauge theories." Nuclear Physics B 492, no. 1-2 (1997): 455–71. http://dx.doi.org/10.1016/s0550-3213(97)80041-7.

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18

Ellwanger, Ulrich. "Supersymmetric σ-models in four dimensions as quantum theories". Nuclear Physics B 281, № 3-4 (1987): 489–508. http://dx.doi.org/10.1016/0550-3213(87)90417-2.

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19

Arovas, Daniel P., and Assa Auerbach. "Functional integral theories of low-dimensional quantum Heisenberg models." Physical Review B 38, no. 1 (1988): 316–32. http://dx.doi.org/10.1103/physrevb.38.316.

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20

Hollowood, Timothy J. "Five-dimensional gauge theories and quantum mechanical matrix models." Journal of High Energy Physics 2003, no. 03 (2003): 039. http://dx.doi.org/10.1088/1126-6708/2003/03/039.

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21

Alazzawi, Sabina. "Deformations of Fermionic Quantum Field Theories and Integrable Models." Letters in Mathematical Physics 103, no. 1 (2012): 37–58. http://dx.doi.org/10.1007/s11005-012-0576-3.

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22

Pynadath, D. V., and M. Tambe. "The Communicative Multiagent Team Decision Problem: Analyzing Teamwork Theories and Models." Journal of Artificial Intelligence Research 16 (June 1, 2002): 389–423. http://dx.doi.org/10.1613/jair.1024.

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Despite the significant progress in multiagent teamwork, existing research does not address the optimality of its prescriptions nor the complexity of the teamwork problem. Without a characterization of the optimality-complexity tradeoffs, it is impossible to determine whether the assumptions and approximations made by a particular theory gain enough efficiency to justify the losses in overall performance. To provide a tool for use by multiagent researchers in evaluating this tradeoff, we present a unified framework, the COMmunicative Multiagent Team Decision Problem (COM-MTDP). The COM-MTDP mo

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23

Bhattacharyya, Arpan. "Circuit complexity and (some of) its applications." International Journal of Modern Physics E 30, no. 07 (2021): 2130005. http://dx.doi.org/10.1142/s0218301321300058.

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Motivated by recent interesting holographic results, several attempts have been made to study complexity (rather “Circuit Complexity”) for quantum field theories using Nielsen’s geometric method. Since then, it has found many interesting applications. We discuss some of its applications. In particular, we discuss whether circuit complexity can be used as a diagnostics of quantum chaos. We use a simple toy model, namely the Inverted Harmonic Oscillator (IHO), to establish our claim and discuss further applications in the context of quantum cosmology.

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24

Dimitrijevs, Maksims, and Abuzer Yakaryılmaz. "Uncountable classical and quantum complexity classes." RAIRO - Theoretical Informatics and Applications 52, no. 2-3-4 (2018): 111–26. http://dx.doi.org/10.1051/ita/2018012.

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It is known that poly-time constant-space quantum Turing machines (QTMs) and logarithmic-space probabilistic Turing machines (PTMs) recognize uncountably many languages with bounded error (A.C. Cem Say and A. Yakaryılmaz, Magic coins are useful for small-space quantum machines. Quant. Inf. Comput. 17 (2017) 1027–1043). In this paper, we investigate more restricted cases for both models to recognize uncountably many languages with bounded error. We show that double logarithmic space is enough for PTMs on unary languages in sweeping reading mode or logarithmic space for one-way head. On unary la

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25

Bahr, Benjamin, Bianca Dittrich, and James P. Ryan. "Spin Foam Models with Finite Groups." Journal of Gravity 2013 (July 24, 2013): 1–28. http://dx.doi.org/10.1155/2013/549824.

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Spin foam models, loop quantum gravity, and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity-inspired models with finite groups, firstly as a test bed for the full theory and secondly as a class of new lattice theories possibly featuring an analogue diffeomorphism symmetry. To make these notes accessible to readers outside the quantum gravity community, we provide an introduction to some essential concepts in the loop quantum gravity, spin foam, and group field theory approach and poi

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26

Krovi, Hari. "Models of optical quantum computing." Nanophotonics 6, no. 3 (2017): 531–41. http://dx.doi.org/10.1515/nanoph-2016-0136.

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AbstractI review some work on models of quantum computing, optical implementations of these models, as well as the associated computational power. In particular, we discuss the circuit model and cluster state implementations using quantum optics with various encodings such as dual rail encoding, Gottesman-Kitaev-Preskill encoding, and coherent state encoding. Then we discuss intermediate models of optical computing such as boson sampling and its variants. Finally, we review some recent work in optical implementations of adiabatic quantum computing and analog optical computing. We also provide

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27

Jia, Zhih-Ahn, Lu Wei, Yu-Chun Wu, and Guang-Can Guo. "Quantum Advantages of Communication Complexity from Bell Nonlocality." Entropy 23, no. 6 (2021): 744. http://dx.doi.org/10.3390/e23060744.

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Communication games are crucial tools for investigating the limitations of physical theories. The communication complexity (CC) problem is a typical example, for which several distributed parties attempt to jointly calculate a given function with limited classical communications. In this work, we present a method to construct CC problems from Bell tests in a graph-theoretic way. Starting from an experimental compatibility graph and the corresponding Bell test function, a target function that encodes the information of each edge can be constructed; then, using this target function, we can const

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28

FERREIRA, MIGUEL J. B., VICTOR A. PEREIRA та PAULO TEOTONIO-SOBRINHO. "QUASI-TOPOLOGICAL QUANTUM FIELD THEORIES AND ℤ2 LATTICE GAUGE THEORIES". International Journal of Modern Physics A 27, № 23 (2012): 1250132. http://dx.doi.org/10.1142/s0217751x12501321.

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We consider a two-parameter family of ℤ2 gauge theories on a lattice discretization [Formula: see text] of a three-manifold [Formula: see text] and its relation to topological field theories. Familiar models such as the spin-gauge model are curves on a parameter space Γ. We show that there is a region Γ0 ⊂ Γ where the partition function and the expectation value 〈WR(γ)〉 of the Wilson loop can be exactly computed. Depending on the point of Γ0, the model behaves as topological or quasi-topological. The partition function is, up to a scaling factor, a topological number of [Formula: see text]. Th

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29

ALEXANDRE, JEAN. "LIFSHITZ-TYPE QUANTUM FIELD THEORIES IN PARTICLE PHYSICS." International Journal of Modern Physics A 26, no. 26 (2011): 4523–41. http://dx.doi.org/10.1142/s0217751x11054656.

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This introduction to Lifshitz-type field theories reviews some of its aspects in Particle Physics. Attractive features of these models are described with different examples, as the improvement of graphs convergence, the introduction of new renormalizable interactions, dynamical mass generation, asymptotic freedom, and other features related to more specific models. On the other hand, problems with the expected emergence of Lorentz symmetry in the IR are discussed, related to the different effective light cones seen by different particles when they interact.

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30

Arovas, Daniel P., and Assa Auerbach. "Erratum: Functional integral theories of low-dimensional quantum Heisenberg models." Physical Review B 40, no. 1 (1989): 791. http://dx.doi.org/10.1103/physrevb.40.791.

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31

CHAKRABORTY, SUBENOY. "QUANTUM COSMOLOGY IN ANISOTROPIC COSMOLOGICAL MODELS WITH SCALAR–TENSOR THEORIES." International Journal of Modern Physics D 10, no. 06 (2001): 943–56. http://dx.doi.org/10.1142/s0218271801001244.

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This paper deals with quantum cosmological phenomena in anisotropic cosmological models with nonminimally coupled scalor field. With proper transformation of the field variables, the Wheeler–Dewitt (WD) equation looks simple in form and solutions are obtained using separable form of the wave function. Using part integral formulation, the wave function of the Universe has been evaluated by the method of steepest descent. Finally, the causal interpretation has been done using quantum Bohmian trajectories and also we study the classical limit of some particular solutions of these quantum models.

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32

Janiš, V., and D. Vollhardt. "Construction of analytically tractable mean-field theories for quantum models." Zeitschrift für Physik B Condensed Matter 91, no. 3 (1993): 317–23. http://dx.doi.org/10.1007/bf01344060.

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33

Janiš, V., J. Mašek, and D. Vollhardt. "Construction of analytically tractable mean-field theories for quantum models." Zeitschrift für Physik B Condensed Matter 91, no. 3 (1993): 325–36. http://dx.doi.org/10.1007/bf01344061.

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34

Ho, Wen Wei, and Đorđe Radičević. "The ergodicity landscape of quantum theories." International Journal of Modern Physics A 33, no. 04 (2018): 1830004. http://dx.doi.org/10.1142/s0217751x18300041.

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This paper is a physicist’s review of the major conceptual issues concerning the problem of spectral universality in quantum systems. Here, we present a unified, graph-based view of all archetypical models of such universality (billiards, particles in random media, interacting spin or fermion systems). We find phenomenological relations between the onset of ergodicity (Gaussian-random delocalization of eigenstates) and the structure of the appropriate graphs, and we construct a heuristic picture of summing trajectories on graphs that describes why a generic interacting system should be ergodic

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35

Yagi, Junya. "Branes and integrable lattice models." Modern Physics Letters A 32, no. 03 (2017): 1730003. http://dx.doi.org/10.1142/s0217732317300038.

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This is a brief review of my work on the correspondence between four-dimensional [Formula: see text] supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.

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36

Cappelli, Andrea, Carlo A. Trugenberger, and Guillermo R. Zemba. "W1+∞ Field Theories for the Edge Extensions in the Quantum Hall Effect." International Journal of Modern Physics A 12, no. 06 (1997): 1101–11. http://dx.doi.org/10.1142/s0217751x97000827.

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We briefly review these low-energy effective theories for the quantum Hall effect, with emphasis and language familiar to field theorists. Two models have been proposed for describing the most stable Hall plateaus (the Jain series): the multi-component Abelian theories and the minimal W1+∞ models. They both lead to a-priori classifications of quantum Hall universality classes. Some experiments already confirmed the basic predictions common to both effective theories, while other experiments will soon pin down their detailed properties and differences. Based on the study of partition functions,

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37

FILIPPOV, A. T., D. GANGOPADHYAY, and A. P. ISAEV. "QUANTUM DISCRETE GAUGE MODELS WITH BOSONIC AND FERMIONIC DEGREES OF FREEDOM." International Journal of Modern Physics A 07, no. 11 (1992): 2487–507. http://dx.doi.org/10.1142/s0217751x92001101.

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A general approach to quantizing discrete models (i.e. having a finite number of coordinates) with quadratic first-class constraints is presented in the framework of gauging linear canonical symmetries. Also, it is proposed how a natural superextension of matrix field theories (viz. orthosymplectic "zero-dimensional" matrix field theories) might emerge in this approach.

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38

Gunitsky, Seva. "Complexity and theories of change in international politics." International Theory 5, no. 1 (2013): 35–63. http://dx.doi.org/10.1017/s1752971913000110.

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This article examines how the principles of complex systems can illuminate recurring mechanisms of change in theories of international relations. It applies the logic of complex systems to two specific puzzles in international politics – the problem of theorizing change in structural realism, and the dynamics of cross-border democratic diffusion. In the first case, by shifting the analysis of anarchy's consequences from state behavior to state attributes, complex systems can illustrate the sources of domestic and international transformations embedded in structural theories. This approach offe

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39

Momani, Alaa M., Mamoun M. Jamous, and Shadi M. S. Hilles. "Technology Acceptance Theories." International Journal of Cyber Behavior, Psychology and Learning 7, no. 2 (2017): 1–14. http://dx.doi.org/10.4018/ijcbpl.2017040101.

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Studying the acceptance and usage of technologies has become one of the most significant fields in software engineering domain. In order to explain the individuals' usage behavior towards technologies, many theories and models have been proposed over the years. This research paper focuses on reviewing a group of ten technology acceptance theories and models by studying their structure, evolution stages, and their strengths and weaknesses points. These theories were analyzed and classified into two main types depending on their development method and scientific field which they were developed i

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Esipova, S. R., P. M. Lavrov, and O. V. Radchenko. "Supersymmetric invariant theories." International Journal of Modern Physics A 29, no. 11n12 (2014): 1450065. http://dx.doi.org/10.1142/s0217751x14500651.

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We study field models for which a quantum action (i.e. the action appearing in the generating functional of Green functions) is invariant under supersymmetric transformations. We derive the Ward identity which is a direct consequence of this invariance. We consider a change of variables in functional integral connected with supersymmetric transformations when its parameter is replaced by a nilpotent functional of fields. Exact form of the corresponding Jacobian is found. We find restrictions on generators of supersymmetric transformations when a consistent quantum description of given field th

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SIOPSIS, GEORGE. "ON THE QUANTUM GROUP STRUCTURE IN WZW MODELS AND CHERN–SIMONS THEORIES." Modern Physics Letters A 06, no. 16 (1991): 1515–23. http://dx.doi.org/10.1142/s0217732391001627.

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We discuss the origin of quantum group features in both Wess–Zumino–Witten models and (2 + 1)-dimensional topological Chern–Simons theories. We identify certain matrices in these theories whose elements obey commutation relations characteristic of a quantum group.

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Syros, C. "New developments in Time-Asymmetry of Quantum Field Theories." HNPS Proceedings 9 (February 11, 2020): 357. http://dx.doi.org/10.12681/hnps.2797.

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Time-asymmetric evolution is derived from time-reversal invariant fundamental QFT-equations. Chrono-topology, the disconnected time topological space J4, is the playground for the generalized random and infinitely divisable quantum fields, a new development in time-asymmetry. Based on the properties of this time space and using the theory of random quantum fields previously developed a non-unitary, complexity evolution operator, C(J4), is derived. C(J4) breaks down, by Bohr- quantizing the field-action integral, alternatively into two, spontaneously renormal- ized parts: One, (unitary) Uu(r),

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43

Moshin, Pavel Yu, and Alexander A. Reshetnyak. "Composite and Background Fields in Non-Abelian Gauge Models." Symmetry 12, no. 12 (2020): 1985. http://dx.doi.org/10.3390/sym12121985.

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A joint introduction of composite and background fields into non-Abelian quantum gauge theories is suggested based on the symmetries of the generating functional of Green’s functions, with the systematic analysis focused on quantum Yang–Mills theories, including the properties of the generating functional of vertex Green’s functions (effective action). For the effective action in such theories, gauge dependence is found in terms of a nilpotent operator with composite and background fields, and on-shell independence from gauge fixing is established. The basic concept of a joint introduction of

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44

Holik, Federico, César Massri, Angelo Plastino, and Manuel Sáenz. "Generalized Probabilities in Statistical Theories." Quantum Reports 3, no. 3 (2021): 389–416. http://dx.doi.org/10.3390/quantum3030025.

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We discuss different formal frameworks for the description of generalized probabilities in statistical theories. We analyze the particular cases of probabilities appearing in classical and quantum mechanics and the approach to generalized probabilities based on convex sets. We argue for considering quantum probabilities as the natural probabilistic assignments for rational agents dealing with contextual probabilistic models. In this way, the formal structure of quantum probabilities as a non-Boolean probabilistic calculus is endowed with a natural interpretation.

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Grigoryan, G. V., R. P. Grigoryan, and I. V. Tyutin. "Comparison of O- and C-models on pseudosphere." International Journal of Modern Physics A 31, no. 34 (2016): 1650179. http://dx.doi.org/10.1142/s0217751x16501797.

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We present a mathematically rigorous quantum-mechanical treatment of a two-dimensional nonrelativistic quantum dual theories (with oscillator- and Coulomb-like potentials) on pseudosphere. We construct all self-adjoint Schrödinger operators for these theories and present solutions of the corresponding spectral problems. We show, that there is one-to-one correspondence between spectral points of the energy-coupling constant planes not only for discrete, but also for continuous spectra and corresponding eigenfunctions forming the complete orthonormalized systems.

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GRANDITS, PETER. "ON NON-SUPERSYMMETRIC FINITE QUANTUM FIELD THEORIES." International Journal of Modern Physics A 10, no. 10 (1995): 1507–28. http://dx.doi.org/10.1142/s0217751x95000723.

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In a previous paper, requiring finiteness of Yukawa couplings in one-loop approximation, a no-go theorem for the finiteness of non-supersymmetric gauge theories with gauge group SU (n) was proven. Interestingly enough the gauge group SU(5), prominent in GUT models, was not covered by this proof. However, with somewhat more effort the no-go theorem can be extended to this case. Considering an even larger class of particle contents, we show that the number of possibly finite theories is greatly reduced. It should be stressed that our results are based upon two-loop finiteness of the gauge coupli

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FEWSTER, CHRISTOPHER J., and STEFAN HOLLANDS. "QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY." Reviews in Mathematical Physics 17, no. 05 (2005): 577–612. http://dx.doi.org/10.1142/s0129055x05002406.

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Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, nul

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Figueroa-O'Farrill, José M., and Sonia Stanciu. "Supersymmetric Cosets from Gauged SWZW Models." Modern Physics Letters A 12, no. 23 (1997): 1677–85. http://dx.doi.org/10.1142/s0217732397001710.

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In this letter, which complements and extends our work7 on the superconformal field theories obtained from SWZW models based on general self-dual Lie algebras, we prove the quantum equivalence of the two known descriptions of the gauged supersymmetric WZW model, and as a corollary we show that in the case of the topological G/G gauging, the supersymmetric and nonsupersymmetric theories agree.

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49

Aravinda, S., Anindita Banerjee, Anirban Pathak, and R. Srikanth. "Orthogonal-state-based cryptography in quantum mechanics and local post-quantum theories." International Journal of Quantum Information 12, no. 07n08 (2014): 1560020. http://dx.doi.org/10.1142/s0219749915600205.

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We introduce the concept of cryptographic reduction, in analogy with a similar concept in computational complexity theory. In this framework, class A of crypto-protocols reduces to protocol class B in a scenario X, if for every instance a of A, there is an instance b of B and a secure transformation X that reproduces a given b, such that the security of b guarantees the security of a. Here we employ this reductive framework to study the relationship between security in quantum key distribution (QKD) and quantum secure direct communication (QSDC). We show that replacing the streaming of indepen

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Delcamp, Clement, and Bianca Dittrich. "From 3D topological quantum field theories to 4D models with defects." Journal of Mathematical Physics 58, no. 6 (2017): 062302. http://dx.doi.org/10.1063/1.4989535.

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