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.
Keywords
Cite
@article{arxiv.hep-th/0206231,
title = {The Seiberg-Witten Map for Noncommutative Gauge Theories},
author = {B. L. Cerchiai and A. F. Pasqua and B. Zumino},
journal= {arXiv preprint arXiv:hep-th/0206231},
year = {2007}
}
Comments
12 pages, talk presented at "Continuous Advances in QCD 2002/Arkadyfest", University of Minnesota, Minneapolis, May 17-23, 2002. A few misprints corrected