Results 1 - 10 of 12,907

Axiomatic quantum field theory in curved spacetime

by Stefan Hollands, Robert M. Wald , 2008
"... 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 globa ..."
Abstract - Cited by 689 (18 self) - Add to MetaCart
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

Current trends in axiomatic quantum field theory

by Detlev Buchholz , 1998
"... In this article a non–technical survey is given of the present status of Axiomatic Quantum Field Theory and interesting future directions of this approach are outlined. The topics covered are the universal structure of the local algebras of observables, their relation to the underlying fields and th ..."
Abstract - Cited by 15 (0 self) - Add to MetaCart
In this article a non–technical survey is given of the present status of Axiomatic Quantum Field Theory and interesting future directions of this approach are outlined. The topics covered are the universal structure of the local algebras of observables, their relation to the underlying fields

Axiomatic quantum field theory. Jet formalism

by G. Sardanashvily , 707
"... Abstract. Jet formalism provides the adequate mathematical formulation of classical field theory reviewed in hep-th/0612182v1. A formulation of QFT compatible with this classical one is discussed. We are based on the fact that an algebra of Euclidean quantum fields is graded commutative, and there a ..."
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Abstract. Jet formalism provides the adequate mathematical formulation of classical field theory reviewed in hep-th/0612182v1. A formulation of QFT compatible with this classical one is discussed. We are based on the fact that an algebra of Euclidean quantum fields is graded commutative

Axiomatic Quantum Field Theory in Terms of Operator Product Expansions: General Framework, and Perturbation Theory via Hochschild Cohomology

by Stefan Hollands , 2009
"... In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are “associativity” or “factorization ” conditions on the operator product expansion (OPE) of the theory, and are proposed to be the defining property o ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
In this paper, we propose a new framework for quantum field theory in terms of consistency conditions. The consistency conditions that we consider are “associativity” or “factorization ” conditions on the operator product expansion (OPE) of the theory, and are proposed to be the defining property

Gromov-Witten classes, quantum cohomology, and enumerative geometry

by M. Kontsevich, Yu. Manin - Commun. Math. Phys , 1994
"... The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological ..."
Abstract - Cited by 474 (3 self) - Add to MetaCart
The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

by M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa - Commun. Math. Phys , 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
Abstract - Cited by 540 (59 self) - Add to MetaCart
particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number

Quantum field theory on noncommutative spaces

by Richard J. Szabo
"... A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommuta ..."
Abstract - Cited by 396 (26 self) - Add to MetaCart
A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing

Anti-de Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories

by Edward Witten - Adv. Theor. Math. Phys , 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Anti-de Sitter space. In this description, quantum phenome ..."
Abstract - Cited by 1083 (3 self) - Add to MetaCart
The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Anti-de Sitter space. In this description, quantum

UNIFIED TREATMENT OF EPR AND BELL ARGUMENTS IN ALGEBRAIC QUANTUM FIELD THEORY

by Michael L. G. Redhead, Fabian Wagner , 1998
"... A conjecture concerning vacuum correlations in axiomatic quantum field theory is proved. It is shown that this result can be applied both in the context of EPR-type experiments and Bell-type experiments. Key words: unified EPR, Bell, algebraic QFT. 1. ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
A conjecture concerning vacuum correlations in axiomatic quantum field theory is proved. It is shown that this result can be applied both in the context of EPR-type experiments and Bell-type experiments. Key words: unified EPR, Bell, algebraic QFT. 1.

On conformal field theories

by Michael R. Douglas, Nikita A. Nekrasov - in fourdimensions,” Nucl. Phys. B533 , 1998
"... We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last ..."
Abstract - Cited by 365 (0 self) - Add to MetaCart
We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states
Results 1 - 10 of 12,907