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arXiv · 1507.02361

Representation of a gauge field via intrinsic "BRST" operator

Igor A. Batalin·Peter M. Lavrov
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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.

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Igor A. Batalin, Peter M. Lavrov. 2016-08-15. Representation of a gauge field via intrinsic "BRST" operator. https://doi.org/10.1016/j.physletb.2015.09.033

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