The Seiberg-Witten Map for Noncommutative Gauge Theories

Abstract

The Seiberg-Witten map for noncommutative Yang-Mills theories is studied and methods for its explicit construction are discussed which are valid for any gauge group. In particular the use of the evolution equation is described in some detail and its relation to the cohomological approach is elucidated. Cohomological methods which are applicable to gauge theories requiring the Batalin-Vilkoviskii antifield formalism are briefly mentioned. Also, the analogy of the Weyl-Moyal star product with the star product of open bosonic string field theory and possible ramifications of this analogy are briefly mentioned.

arXiv comment12 pages, talk presented at "Continuous Advances in QCD 2002/Arkadyfest", University of Minnesota, Minneapolis, May 17-23, 2002. A few misprints corrected

References in corpus (5)

• On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
• Computing in String Field Theory Using the Moyal Star Product
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Wess-Zumino-Witten and fermion models in noncommutative space
• Noncommutative Monopole at the Second Order in θ

Cited by in corpus (6)

• Anomaly freedom in Seiberg-Witten noncommutative gauge theories
• The U(1)A anomaly in noncommutative SU(N) theories
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• The Seiberg-Witten Map on the Fuzzy Sphere
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory