Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
Glenn Barnich, Friedemann Brandt,and Maxim Grigoriev
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Submission date: 22. Jul. 2003
published in: Nuclear physics / B, 677 (2004) 3, p. 503-534
DOI number (of the published article): 10.1016/j.nuclphysb.2003.10.043
Keywords and phrases: noncommutative gauge theory, seiberg-witten map, local brst cohomology
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We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is investigated in the framework of the effective commutative Yang-Mills type theory. In particular, we analyze how some of the conformal symmetries get obstructed by the noncommutative deformation.