Results 1 - 10 of 89,924

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

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

Geometric engineering of quantum field theories

by Sheldon Katz, Albrecht Klemm, Cumrun Vafa - Nucl. Phys. B497 , 1997
"... Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for N = 2 quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories to ..."
Abstract - Cited by 229 (28 self) - Add to MetaCart
Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for N = 2 quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories

Homotopy Quantum Field Theories

by Mark Brightwell, Paul Turner, Simon Willerton , 2002
"... Abstract. In this short note we provide a review of some developments in the area of homotopy quantum field theories, loosely based on a talk ..."
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Abstract. In this short note we provide a review of some developments in the area of homotopy quantum field theories, loosely based on a talk

Shuffling quantum field theory

by D. Kreimer
"... We discuss shuffle identities between Feynman graphs using the Hopf algebra structure of perturbative quantum field theory. For concrete exposition, we discuss vertex function in massless Yukawa theory. 1 ..."
Abstract - Cited by 11 (4 self) - Add to MetaCart
We discuss shuffle identities between Feynman graphs using the Hopf algebra structure of perturbative quantum field theory. For concrete exposition, we discuss vertex function in massless Yukawa theory. 1

Topological Quantum Field Theories

by Albert Schwarz
"... Abstract. Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theories. I start with old results (first examples of topological quantum field theories were constructed in my pa ..."
Abstract - Cited by 9 (1 self) - Add to MetaCart
Abstract. Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theories. I start with old results (first examples of topological quantum field theories were constructed in my

Braided Quantum Field Theory

by Robert Oeckl
"... We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry. We use the path integral approach to obtain expressions for n-point functions. Perturbation theory leads us to generalised Feynman diagrams which are braided, i.e., they have n ..."
Abstract - Cited by 49 (6 self) - Add to MetaCart
We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry. We use the path integral approach to obtain expressions for n-point functions. Perturbation theory leads us to generalised Feynman diagrams which are braided, i.e., they have

Quantum field theory

by Frank Wilczek
"... I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality. I mention a few of its most striking successes, both achiev ..."
Abstract - Cited by 6 (0 self) - Add to MetaCart
I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality. I mention a few of its most striking successes, both

Topological Quantum Field Theory and

by Seiberg-witten Monopoles, R. B. Zhang, B. L. Wang, A. L. Carey, J. Mccarthy , 1995
"... A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a three-manifold invariant, which can be regarded as the Sei ..."
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A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a three-manifold invariant, which can be regarded

Algebraic Quantum Field Theory

by Hans Halvorson - HANDBOOK OF THE PHILOSOPHY OF PHYSICS (ELSEVIER,NORTH HOLLAND, 2006); MATH-PH/0602036 , 2006
"... Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools — the theory of operator algebras, category theory, etc.. Given the rigor and gen ..."
Abstract - Cited by 33 (1 self) - Add to MetaCart
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools — the theory of operator algebras, category theory, etc.. Given the rigor
Results 1 - 10 of 89,924