Representation of a gauge field via intrinsic "BRST" operator
High Energy Physics - Theory
2016-08-16 v5
Abstract
We show that there exists a representation of a matrix valued gauge field via intrinsic "BRST" operator assigned to matrix valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang - Mills theory. In the case of a generating quasigroup/groupoid, we give a natural counterpart to the Yang - Mills action. The latter counterpart does also apply as to the most general case of an involution for matrix-valued gauge generators.
Keywords
Cite
@article{arxiv.1507.02361,
title = {Representation of a gauge field via intrinsic "BRST" operator},
author = {Igor A. Batalin and Peter M. Lavrov},
journal= {arXiv preprint arXiv:1507.02361},
year = {2016}
}
Comments
15 pages, no figures, Section 6 extended with (6.14), (6.15); v3: Section 7 added, minor corrections; v4: Section 4, minor corrections; v5: formula (4.11) modified