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Tachyoncondensation on noncommutative torus
 Phys. Rev. D 63 (2001) 086001 , hepth/0010101
"... on noncommutative torus by ..."
on the Noncommutative Torus
, 1999
"... Using standard field theoretical techniques, we survey pure YangMills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory t ..."
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Using standard field theoretical techniques, we survey pure YangMills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory
Dbranes and the noncommutative torus
 JHEP
, 1998
"... We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as Dbrane worldvolume theories. This gives strong evidence that they are welldefined quantum theories. It also gives a physical derivation of the identification proposed by Connes, D ..."
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Cited by 152 (3 self)
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, Douglas and Schwarz of Matrix theory compactification on the noncommutative torus with M theory compactification with constant background threeform tensor field. November 1997It is often stated that in toroidal compactification in superstring theory, there is a minimum radius for the torus, the string
Skein modules and the noncommutative torus
 Trans. Amer. Math. Soc
"... This paper introduces a new direction in the study of skein modules. The Kauffman bracket [9] is a knot invariant associated to quantum field theory. The noncommutative torus is an algebra of functions that appears in noncommutative geometry [6]. In this paper we explicate ..."
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Cited by 37 (5 self)
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This paper introduces a new direction in the study of skein modules. The Kauffman bracket [9] is a knot invariant associated to quantum field theory. The noncommutative torus is an algebra of functions that appears in noncommutative geometry [6]. In this paper we explicate
Asymmetric noncommutative torus
"... We compute the scalar curvature and prove the GaussBonnet formula for a family of Dirac operators on a noncommutative torus, which are not (a priori) conformally related to "flat " Dirac operators. 1 ..."
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We compute the scalar curvature and prove the GaussBonnet formula for a family of Dirac operators on a noncommutative torus, which are not (a priori) conformally related to "flat " Dirac operators. 1
Spectral action on noncommutative torus
 J. Noncommut. Geom
"... Dedicated to Alain Connes on the occasion of his 60th birthday The spectral action on noncommutative torus is obtained, using a Chamseddine– Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined. Several results on holomorphic continuation of series ..."
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Cited by 18 (9 self)
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Dedicated to Alain Connes on the occasion of his 60th birthday The spectral action on noncommutative torus is obtained, using a Chamseddine– Connes formula via computations of zeta functions. The importance of a Diophantine condition is outlined. Several results on holomorphic continuation
On complex and noncommutative torus
, 2008
"... To every nonsingular elliptic curve (complex torus) we assign a C ∗algebra Tθ = {u, v  vu = e 2πiθ uv} known as noncommutative torus. It is shown that morphisms of elliptic curves generate Morita equivalence of the corresponding noncommutative tori. Real number θ we call projective curvature atta ..."
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To every nonsingular elliptic curve (complex torus) we assign a C ∗algebra Tθ = {u, v  vu = e 2πiθ uv} known as noncommutative torus. It is shown that morphisms of elliptic curves generate Morita equivalence of the corresponding noncommutative tori. Real number θ we call projective curvature
Quantum Mechanics on the Noncommutative Torus
, 2001
"... We analyze the algebra of observables of a charged particle on a noncommutative torus in a constant magnetic field. We present a set of generators of this algebra which coincide with the generators for a commutative torus but at a different value of the magnetic field, and demonstrate the existence ..."
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Cited by 4 (0 self)
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We analyze the algebra of observables of a charged particle on a noncommutative torus in a constant magnetic field. We present a set of generators of this algebra which coincide with the generators for a commutative torus but at a different value of the magnetic field, and demonstrate the existence
Quantum Mechanics on the Noncommutative Torus
, 2001
"... We analyze the algebra of observables of a charged particle on a noncommutative torus in a constant magnetic field. We present a set of generators of this algebra which coincide with the generators for a commutative torus but at a different value of the magnetic field, and demonstrate the existence ..."
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We analyze the algebra of observables of a charged particle on a noncommutative torus in a constant magnetic field. We present a set of generators of this algebra which coincide with the generators for a commutative torus but at a different value of the magnetic field, and demonstrate the existence
The noncommutative torus and Dirac calculus
, 2010
"... In [1] we considered the noncommutative torus T 2q for q a root of unity, and in [5] for generic q, which we showed to be approximated, under certain assumptions, by the structures at roots of unity. Using the idea of structural approximation from [5] we reduce calculations in the generic case to th ..."
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Cited by 2 (2 self)
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In [1] we considered the noncommutative torus T 2q for q a root of unity, and in [5] for generic q, which we showed to be approximated, under certain assumptions, by the structures at roots of unity. Using the idea of structural approximation from [5] we reduce calculations in the generic case
Results 1  10
of
7,227