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349
Noncommutative Geometry of Phase Space
, 2008
"... We investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for a Poisson algebra. Introduce and investigate noncommutative Bott connection on a foliated manifold using the algebraic ..."
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We investigate the geometric, algebraic and homologic structures related with Poisson structure on a smooth manifold. Introduce a noncommutative foundations of these structures for a Poisson algebra. Introduce and investigate noncommutative Bott connection on a foliated manifold using the algebraic
NONCOMMUTATIVE GEOMETRY FROM STRINGS
, 2005
"... One of the most important recent developments in string theory is the discovery of Dbranes and a deeper understanding of their properties. Among other things, this allows one to derive for the first time noncommutative geometry from string theory. The resulting noncommutative geometry has stimulate ..."
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Cited by 5 (0 self)
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One of the most important recent developments in string theory is the discovery of Dbranes and a deeper understanding of their properties. Among other things, this allows one to derive for the first time noncommutative geometry from string theory. The resulting noncommutative geometry has
TOPICS IN NONCOMMUTATIVE GEOMETRY INSPIRED PHYSICS
, 909
"... In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative manybody systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories ..."
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Cited by 2 (0 self)
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In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative manybody systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories
Dimensional regularization and renormalization of noncommutative quantum field theory
, 2008
"... Using the recently introduced parametric representation of noncommutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized Φ ⋆4 4 model on the Moyal space. ..."
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Cited by 24 (6 self)
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Using the recently introduced parametric representation of noncommutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized Φ ⋆4 4 model on the Moyal space.
NONCOMMUTATIVE GEOMETRY FROM STRINGS
, 2005
"... One of the most important recent developments in string theory is the discovery of Dbranes and a deeper understanding of their properties. Among other things, this allows one to derive for the first time noncommutative geometry from string theory. The resulting noncommutative geometry has stimulate ..."
Abstract
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One of the most important recent developments in string theory is the discovery of Dbranes and a deeper understanding of their properties. Among other things, this allows one to derive for the first time noncommutative geometry from string theory. The resulting noncommutative geometry has
The CP(n) Model on Noncommutative Plane
, 2001
"... We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti)selfdual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions, which ..."
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We construct the consistent CP(n) model on noncommutative plane. The Bogomolny bound on the energy is saturated by (anti)selfdual solitons with integer topological charge, which is independent of their scaling and orientation. This integer quantization is satisfied for our general solutions
Noncommutative chiral anomaly and the DiracGinspargWilson operator
 JHEP 0308 (2003) 046 [arXiv:hepth/0211209
"... It is shown that local axial anomaly in 2−dimensions emerges naturally in the gaugeinvariant quantized GinspargWilson relation if one postulates an underlying noncommutative structure of spacetime. Indeed if one first regularizes the 2−d plane with a fuzzy sphere, i.e with a (2l + 1)×(2l + 1) matr ..."
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Cited by 22 (0 self)
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It is shown that local axial anomaly in 2−dimensions emerges naturally in the gaugeinvariant quantized GinspargWilson relation if one postulates an underlying noncommutative structure of spacetime. Indeed if one first regularizes the 2−d plane with a fuzzy sphere, i.e with a (2l + 1)×(2l + 1
Noncommutative Field Theory from Quantum Mechanical SpaceSpace Noncommutativity
, 2007
"... ar ..."
Results 11  20
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