Results 1  10
of
89,924
Axiomatic quantum field theory in curved spacetime
, 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
"... A pedagogical and selfcontained 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 WeylWigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommuta ..."
Abstract

Cited by 396 (26 self)
 Add to MetaCart
A pedagogical and selfcontained 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 WeylWigner correspondence, noncommutative Feynman diagrams, UV/IR mixing
Geometric engineering of quantum field theories
 Nucl. Phys. B497
, 1997
"... Using the recent advances in our understanding of nonperturbative aspects of type II strings we show how nontrivial exact results for N = 2 quantum field theories can be reduced to Tdualities 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 nonperturbative aspects of type II strings we show how nontrivial exact results for N = 2 quantum field theories can be reduced to Tdualities of string theory. This is done by constructing a local geometric realization of quantum field theories
Homotopy Quantum Field Theories
, 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 ..."
Abstract
 Add to MetaCart
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
"... 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
"... 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
"... 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 npoint 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 npoint functions. Perturbation theory leads us to generalised Feynman diagrams which are braided, i.e., they have
Quantum field theory
"... 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
, 1995
"... A topological quantum field theory is introduced which reproduces the SeibergWitten invariants of fourmanifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a threemanifold invariant, which can be regarded as the Sei ..."
Abstract
 Add to MetaCart
A topological quantum field theory is introduced which reproduces the SeibergWitten invariants of fourmanifolds. Dimensional reduction of this topological field theory leads to a new one in three dimensions. Its partition function yields a threemanifold invariant, which can be regarded
Algebraic Quantum Field Theory
 HANDBOOK OF THE PHILOSOPHY OF PHYSICS (ELSEVIER,NORTH HOLLAND, 2006); MATHPH/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