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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 ..."
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Cited by 687 (18 self)
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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 ..."
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Cited by 396 (26 self)
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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 ..."
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Cited by 229 (28 self)
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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 ..."
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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
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 ..."
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Cited by 6 (0 self)
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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
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 ..."
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Cited by 11 (4 self)
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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
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 ..."
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Cited by 49 (6 self)
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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
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 ..."
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Cited by 9 (1 self)
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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
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 ..."
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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
Renormalization and quantum field theory
, 2010
"... The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a canonical Feynman measure, there is a canonical ..."
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Cited by 2 (0 self)
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The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a canonical Feynman measure, there is a canonical
Results 1  10
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1,461,558