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104
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, noncommutative YangMills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an indepth study of the gauge group of noncommutative YangMills theory. Some of the more mathematical ideas and
On conformal field theories
 in fourdimensions,” Nucl. Phys. B533
, 1998
"... We review the generalization of field theory to spacetime 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 ..."
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Cited by 365 (0 self)
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We review the generalization of field theory to spacetime 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 few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.
∗Trek II: ∗n operations, open Wilson lines and the SeibergWitten map
, 2000
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Twisted Backgrounds, PPWaves and Nonlocal Field Theories
, 2003
"... We study partially supersymmetric planewave like deformations of string theories and Mtheory on brane backgrounds. These deformations are dual to nonlocal field theories. We calculate various expectation values of configurations of closed as well as open Wilson loops and Wilson surfaces in those t ..."
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Cited by 52 (4 self)
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We study partially supersymmetric planewave like deformations of string theories and Mtheory on brane backgrounds. These deformations are dual to nonlocal field theories. We calculate various expectation values of configurations of closed as well as open Wilson loops and Wilson surfaces in those theories. We also discuss the manifestation of the nonlocality structure in the supergravity backgrounds. A planewave like deformation of little string theory has also been studied.
Observables of string field theory
 JHEP 0201
"... We study gauge invariant operators of open string field theory and find a precise correspondence with onshell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their correlation functions in terms of onshell scattering amplitudes ..."
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Cited by 51 (2 self)
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We study gauge invariant operators of open string field theory and find a precise correspondence with onshell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their correlation functions in terms of onshell scattering amplitudes of closed strings. We also comment on the There are two kinds of physically meaningful quantities one can compute in a gauge theory. One is onshell scattering amplitude (the Smatrix), and the other is offshell correlation functions of gauge invariant quantities. In perturbative string theory, however, we only know how to compute onshell quantities. String field theory provides an interesting opportunity
GaugeInvariant Couplings of Noncommutative Branes to RamondRamond Backgrounds,” JHEP 0105
, 2001
"... We derive the couplings of noncommutative Dbranes to spatially varying RamondRamond fields, extending our earlier results in hepth/0009101. These couplings are expressed in terms of ∗n products of operators involving open Wilson lines. Equivalence of the noncommutative to the commutative coupling ..."
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Cited by 36 (2 self)
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We derive the couplings of noncommutative Dbranes to spatially varying RamondRamond fields, extending our earlier results in hepth/0009101. These couplings are expressed in terms of ∗n products of operators involving open Wilson lines. Equivalence of the noncommutative to the commutative couplings implies interesting identities as well as an expression for the SeibergWitten map that was previously conjectured. We generalise our couplings to include transverse scalars, thereby obtaining a SeibergWitten map relating commutative and noncommutative descriptions of these scalars. RR couplings for unstable nonBPS branes are also proposed.
Dualities, twists, and gauge theories with nonconstant noncommutativity,” hepth/0410123
"... We study the world volume theory of D3branes wrapping the Melvin universe supported by background NSNS Bfield. In the appropriate decoupling limit, the open string dynamics is that of noncommutative guage field theory with nonconstant noncommutativity. We identify this model as a simple Melvin t ..."
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Cited by 24 (6 self)
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We study the world volume theory of D3branes wrapping the Melvin universe supported by background NSNS Bfield. In the appropriate decoupling limit, the open string dynamics is that of noncommutative guage field theory with nonconstant noncommutativity. We identify this model as a simple Melvin twist of flat D3 branes. Along similar lines, one recognizes the model of Hashimoto and Sethi as being the Melvin null twist, and the model of Dolan and Nappi as being the null Melvin twist, of the flat D3brane. This construction therefore offers a unified perspective on most of the known explicit constructions of noncommutative gauge theories as a decoupled theory of Dbranes in a Bfield background. We also describe the world volume theory on the D3brane in Melvin universe which is decaying via the nucleation of monopole Noncommutative gauge theory is an intriguing dynamical system which exhibits rich features such as gauge invariance, nonlocality and UV/IR mixing. These are features commonly seen in more sophisticated theories such as string theory, little string theory, and gravity. Yet,
Symmetry, gravity and noncommutativity
"... We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical noncommutative gauge transformations is analysed in detail and it ..."
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Cited by 23 (2 self)
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We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical noncommutative gauge transformations is analysed in detail and it is shown how noncommutative YangMills theory can be related to a gravity theory. The construction of twisted spacetime symmetries and their role in constructing a noncommutative extension of general relativity is described. We also analyse certain generic features of noncommutative gauge theories on Dbranes in curved spaces, treating several explicit examples of superstring backgrounds.
Quantum Gravity, Field Theory and Signatures Of Noncommutative Spacetime
, 2009
"... A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge th ..."
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Cited by 22 (1 self)
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A pedagogical introduction to some of the main ideas and results of field theories on quantized spacetimes is presented, with emphasis on what such field theories may teach us about the problem of quantizing gravity. We examine to what extent noncommutative gauge theories may be regarded as gauge theories of gravity. UV/IR mixing is explained in detail and we describe its relations to renormalization, to gravitational dynamics, and to deformed dispersion relations in models of quantum spacetime of interest in string theory and in doubly special relativity. We also discuss some potential experimental probes of spacetime noncommutativity.
Comments on the energymomentum tensor in noncommutative field theories,” Phys
 Lett. B
"... In a noncommutative field theory, the energymomentum tensor obtained from the Noether method needs not be symmetric; in a massless theory, it needs not be traceless either. In a noncommutative scalar field theory, the method yields a locally conserved yet nonsymmetric energymomentum tensor whos ..."
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Cited by 15 (0 self)
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In a noncommutative field theory, the energymomentum tensor obtained from the Noether method needs not be symmetric; in a massless theory, it needs not be traceless either. In a noncommutative scalar field theory, the method yields a locally conserved yet nonsymmetric energymomentum tensor whose trace does not vanish for massless fields. A nonsymmetric tensor also governs the response of the action to a general coordinate transformation. In noncommutative gauge theory, if translations are suitably combined with gauge transformations, the method yields a covariantly constant tensor which is symmetric but only gauge covariant. Using suitable Wilson functionals, this can be improved to yield a locally conserved and gauge invariant, albeit nonsymmetric, energymomentum tensor.