AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R<sup>4</sup>

Ardalan, F.; Sadooghi, N.

doi:10.1142/s0217751x01004384

Cited by 70 publications

(127 citation statements)

References 15 publications

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“…Similarly, one can consider the pure noncommutative gauge theories; in particular noncommutative U(N) theory has been shown to be renormalizable up to one loop [7], [10], [11], [12]. Adding fermions to the noncommutative U(1) has also been studied in [13], [14], [15]. However in this work we will mostly concentrate on the scalar theory.…”

Section: Introductionmentioning

confidence: 99%

Noncommutative Φ⁴ theory at two loops

Micu

Sheikh-Jabbari

2001

J. High Energy Phys.

133

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We study perturbative aspects of noncommutative field theories. This work is arranged in two parts. First, we review noncommutative field theories in general and discuss both canonical and path integral quantization methods. In the second part, we consider the particular example of noncommutative Φ 4 theory in four dimensions and work out the corresponding effective action and discuss renormalizability of the theory, up to two loops.

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Section: Introductionmentioning

confidence: 99%

Noncommutative Φ⁴ theory at two loops

Micu

Sheikh-Jabbari

2001

J. High Energy Phys.

133

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“…Anomalies of NCYM have been studied in a number of papers 10,11 and it has been found that for the fundamental and anti-fundamental fermion coupling, replacing the usual products by ⋆-products will give the anomaly modulo certain subtlties 10 . This is because only planar diagrams appear in the triangle anomaly for this coupling.…”

Section: Introductionmentioning

confidence: 99%

Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

Ardalan

Sadooghi

2002

Int. J. Mod. Phys. A

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Anomalies arising from nonplanar triangle diagrams of noncommutative gauge theory are studied. Local chiral gauge anomalies for both noncommutative U(1) and U(N) gauge theories with adjoint matter fields are shown to vanish. For noncommutative QED with fundamental matters, due to UV/IR mixing a finite anomaly emerges from the nonplanar contributions. It involves a generalized ⋆-product of gauge fields.

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“…This latter case of the pure noncommutative gauge field was discussed recently in Refs. [44]. It would be very interesting to pursue this way and compare with the results given recently by Perrot [45].…”

Section: Discussionmentioning

confidence: 78%

Noncommutative topological theories of gravity

García‐Compeán¹,

Ramı́rez²,

Sabido³

et al. 2003

Phys. Rev. D

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The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained. This gives us a way towards the description of noncommutative gravitational instantons as well as noncommutative local gravitational anomalies. * Electronic address: compean@fis.cinvestav.mx † Electronic address: octavio@ifug3.ugto.mx; Permanent adress:

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AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R⁴

Abstract: The axial anomaly of the noncommutative U(1) gauge theory is calculated by a number of methods and compared with the commutative one. It is found to be given by the corresponding Chern class.

Cited by 70 publications

References 15 publications

Noncommutative Φ⁴ theory at two loops

Noncommutative Φ⁴ theory at two loops

Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

Noncommutative topological theories of gravity

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AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R4

Abstract: The axial anomaly of the noncommutative U(1) gauge theory is calculated by a number of methods and compared with the commutative one. It is found to be given by the corresponding Chern class.

Cited by 70 publications

References 15 publications

Noncommutative Φ4 theory at two loops

Noncommutative Φ4 theory at two loops

Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories

Noncommutative topological theories of gravity

Contact Info

Product

Resources

About

AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R⁴

Noncommutative Φ⁴ theory at two loops

Noncommutative Φ⁴ theory at two loops