A superspace formulation of an "asymptotic" OSp(3,1|2) invariance of Yang-Mills theories

TL;DR

This paper develops a superspace formulation of Yang-Mills theories that exhibits an asymptotic OSp(3,1|2) invariance, providing insights into the symmetry structure of gauge and ghost degrees of freedom.

Contribution

It introduces a 6-dimensional superspace approach with an OSp(3,1|2) multiplet, establishing a novel asymptotic invariance in Yang-Mills theories.

Findings

Formulates a superspace field theory equivalent to BRS/Anti-BRS invariant Yang-Mills action.

Establishes a superspace Ward-Takahashi identity.

Shows asymptotic OSp(3,1|2) invariance as gauge parameter approaches infinity.

Abstract

We formulate a superspace field theory which is shown to be equivalent to the $c-\bar{c}$ symmetric BRS/Anti-BRS invariant Yang-Mills action. The theory uses a 6-dimensional superspace and one OSp(3,1|2) vector multiplet of unconstrained superfields. We establish a superspace WT identity and show that the formulation has an asymptotic OSp(3,1|2) invariance as the gauge parameter goes to infinity. We give a physical interpretation of this asymptotic OSp(3,1|2) invariance as a symmetry transformation among the longitudinal/time like degrees of freedom of $A_\mu$ and the ghost degrees of freedom.