The Seiberg-Witten Map for Noncommutative Gauge Theories

Details The Seiberg-Witten Map for Noncommutative Gauge Theories The Seiberg-Witten Map for Noncommutative Gauge Theories

2002-06-26

arxiv.org/abs/hep-th/0206231v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, talk presented at "Continuous Advances in QCD 2002/Arkadyfest", University of Minnesota, Minneapolis, May 17-23, 200

Scientific paper

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.

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