Local BRS Transformations and Osp(3,1|2) Symmetry of Yang-Mills Theories

TL;DR

This paper introduces a local generalization of BRS transformations in Yang-Mills theories, revealing a connection to superspace symmetries and deriving a new Ward-Takahashi identity with potential novel implications.

Contribution

It establishes a precise link between local BRS transformations and superspace orthosymplectic symmetry, leading to a new WT identity in Yang-Mills theories.

Findings

Derived a new WT identity from local BRS transformations.

Connected local BRS WT identity to superspace superrotation.

Potential for new insights in gauge symmetry and quantization.

Abstract

We consider a certain local generalization of BRS transformations of Yang-Mills theory in which the anti-commuting parameter is space time dependent. While these are not exact symmetries, they do lead to a new nontrivial WT identity. We make a precise connection between the ``local BRS "and the broken orthosymplectic symmetry recently found in superspace formulation of Yang-Mills theory by showing that the local BRS WT identity is precisely the WT identity obtained in the superspace formulation via a superrotation. This ``local BRS " WT identity could lead to new consequences not contained in the usual BRS WT identity.