The Experts below are selected from a list of 300 Experts worldwide ranked by ideXlab platform
H F Jones - One of the best experts on this subject based on the ideXlab platform.
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scalar Quantum Field Theory with a complex cubic interaction
Physical Review Letters, 2004Co-Authors: C.m. Bender, Dorje C Brody, H F JonesAbstract:In this Letter it is shown that an i phi(3) Quantum Field Theory is a physically acceptable model because the spectrum is positive and the Theory is unitary. The demonstration rests on the perturbative construction of a linear operator C, which is needed to define the Hilbert space inner product. The C operator is a new, time-independent observable in PT-symmetric Quantum Field Theory.
Daniel S. Freed - One of the best experts on this subject based on the ideXlab platform.
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Relative Quantum Field Theory
arXiv: High Energy Physics - Theory, 2012Co-Authors: Daniel S. Freed, Constantin TelemanAbstract:We highlight the general notion of a relative Quantum Field Theory, which occurs in several contexts. One is in gauge Theory based on a compact Lie algebra, rather than a compact Lie group. This is relevant to the maximal superconformal Theory in six dimensions.
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Geometry and Quantum Field Theory - Geometry and Quantum Field Theory
IAS Park City Mathematics Series, 1995Co-Authors: Daniel S. Freed, Karen UhlenbeckAbstract:An introduction to Lie groups and symplectic geometry by R. L. Bryant Introduction to Quantum Field Theory for mathematicians by J. M. Rabin Lectures on Quantum mechanics and the index theorem by O. Alvarez Lectures on axiomatic topological Quantum Field Theory by F. S. Quinn.
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Lectures on Topological Quantum Field Theory
Integrable Systems Quantum Groups and Quantum Field Theories, 1993Co-Authors: Daniel S. FreedAbstract:What follows are lecture notes about Topological Quantum Field Theory. While the lectures were aimed at physicists, the content is highly mathematical in its style and motivation. The subject of Topological Quantum Field Theory is young and developing rapidly in many directions. These lectures are not at all representative of this activity, but rather reflect particular interests of the author.
Yu. S. Vernov - One of the best experts on this subject based on the ideXlab platform.
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Haag`s theorem in noncommutative Quantum Field Theory
Physics of Atomic Nuclei, 2013Co-Authors: K. V. Antipin, M. N. Mnatsakanova, Yu. S. VernovAbstract:Haag’s theorem was extended to the general case of noncommutative Quantum Field Theory when time does not commute with spatial variables. It was proven that if S matrix is equal to unity in one of two theories related by unitary transformation, then the corresponding one in the other Theory is equal to unity as well. In fact, this result is valid in any SO(1, 1)-invariant Quantum Field Theory, an important example of which is noncommutative Quantum Field Theory.
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Classical Theorems in Noncommutative Quantum Field Theory
arXiv: High Energy Physics - Theory, 2006Co-Authors: Masud Chaichian, M. N. Mnatsakanova, Anca Tureanu, Yu. S. VernovAbstract:Classical results of the axiomatic Quantum Field Theory - Reeh and Schlieder's theorems, irreducibility of the set of Field operators and generalized Haag's theorem are proven in SO(1,1) invariant Quantum Field Theory, of which an important example is noncommutative Quantum Field Theory. In SO(1,3) invariant Theory new consequences of generalized Haag's theorem are obtained. It has been proven that the equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and thus the total cross-sections in these theories.
Norman Sieroka - One of the best experts on this subject based on the ideXlab platform.
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Quantum Field Theory in a semiotic perspective
2005Co-Authors: Hans Günter Dosch, Volkhard F. Müller, Norman SierokaAbstract:Relativistic Quantum Field Theories Viewed as Physical Theories.- Particles and Fields.- Theories of Signs and Symbols, and Structural Realism.- A Theory of Symbols for Quantum Field Theory.- Summary.
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Quantum Field Theory in a Semiotic Perspective
2005Co-Authors: Hans Günter Dosch, Volkhard F. Müller, Norman SierokaAbstract:Viewing physical theories as symbolic constructions came to the fore in the middle of the nineteenth century with the emancipation of the classical Theory of the electromagnetic Field from mechanics; most notably this happened through the work of Helmholtz, Hertz, Poincaré, and later Weyl. The epistemological problems that nourished this development are today highlighted within Quantum Field Theory. The present essay starts off with a concise and non-technical outline of the firmly based aspects of relativistic Quantum Field Theory, i.e. the very successful description of subnuclear phenomena. The particular methods, by which these different aspects have to be accessed, then get described as distinct facets of Quantum Field Theory. The authors show how these different facets vary with respect to the relation between Quantum Fields and associated particles. Thus, by emphasising the respective role of various basic concepts involved, the authors claim that only a very general epistemic approach can properly account for this diversity - an account they trace back to the philosophical writings of the aforementioned physicists and mathematicians. Finally, what they call their semiotic perspective on Quantum Field Theory gets related to recent discussions within the philosophy of science and turns out to act as a counterbalance to, for instance, structural realism
Stefan Hollands - One of the best experts on this subject based on the ideXlab platform.
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Recent mathematical developments in Quantum Field Theory
Oberwolfach Reports, 2016Co-Authors: Abdelmalek Abdesselam, Stefan Hollands, Christoph Kopper, Gandalf LechnerAbstract:This workshop has focused on three areas in mathematical Quantum Field Theory and their interrelations: 1) conformal Field Theory, 2) constructions of interacting models of Quantum Field Theory by various methods, and 3) several approaches studying the interplay of Quantum Field Theory and gravity.
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Axiomatic Quantum Field Theory in curved spacetime
Communications in Mathematical Physics, 2009Co-Authors: Stefan Hollands, Robert M. WaldAbstract:The usual formulations of Quantum Field Theory in Minkowski spacetime make crucial use of features--such as Poincare invariance and the existence of a preferred vacuum state--that are very special to Minkowski spacetime. In order to generalize the formulation of Quantum Field Theory to arbitrary globally hyperbolic curved spacetimes, it is essential that the Theory be formulated in an entirely local and covariant manner, without assuming the presence of a preferred state. We propose a new framework for Quantum Field Theory, in which the existence of an Operator Product Expansion (OPE) is elevated to a fundamental status, and, in essence, all of the properties of the Quantum Field Theory are determined by its OPE. We provide general axioms for the OPE coefficients of a Quantum Field Theory. These include a local and covariance assumption (implying that the Quantum Field Theory is locally and covariantly constructed from the spacetime metric), a microlocal spectrum condition, an "associativity" condition, and the requirement that the coefficient of the identity in the OPE of the product of a Field with its adjoint have positive scaling degree. We prove curved spacetime versions of the spin-statistics theorem and the PCT theorem. Some potentially significant further implications of our new viewpoint on Quantum Field Theory are discussed.
