Remarks on gauge fixing and BRST quantization of noncommutative gauge theories

Details Remarks on gauge fixing and BRST quantization of noncommutative gauge theories Remarks on gauge fixing and BRST quantization of noncommutative gauge theories

2004-05-12

arxiv.org/abs/hep-th/0405114v2

Braz.J.Phys.35:645-651,2005

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures. In this revised version, we included the explicit Seiberg Witten maps for antighost and auxiliary fields.

Scientific paper

We consider the BRST gauge fixing procedure of the noncommutative Yang-Mills theory and of the gauged U(N) Proca model. An extended Seiberg-Witten map involving ghosts, antighosts and auxiliary fields for non Abelian gauge theories is studied. We find that the extended map behaves differently for these models. For the Yang-Mills theory in the Lorentz gauge it was not possible to find a map that relates the gauge conditions in the noncommutative and ordinary theories. For the gauged Proca model we found a particular map relating the unitary gauge fixings in both formulations.

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