Remarks on gauge fixing and BRST quantization of noncommutative gauge theories
Ricardo Amorim, Henrique Boschi-Filho, Nelson R. F. Braga
TL;DR
This paper investigates the BRST gauge fixing and Seiberg-Witten map in noncommutative gauge theories, revealing differences in gauge fixing procedures and mappings between models.
Contribution
It introduces an extended Seiberg-Witten map for non-Abelian gauge theories and analyzes its behavior in different models and gauges.
Findings
Extended map behaves differently for Yang-Mills and Proca models.
Unable to relate gauge conditions in noncommutative and ordinary Yang-Mills theories.
Found a specific map relating unitary gauges in the Proca model.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.