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The Seiberg-Witten Map for Noncommutative Gauge Theories

2002/06/26 by B. L. Cerchiai, Cerchiai, B. L., A. F. Pasqua +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0206231

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

arxiv created 2002/07/10 · arxiv updated 2009/11/30

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.

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