Superspace Formulation of Yang- Mills Theory II: Inclusion of Gauge Invariant Operators and Scalars

TL;DR

This paper extends a superspace formulation of Yang-Mills theory to include gauge-invariant operators and scalars, maintaining symmetry and simplifying Ward-Takahashi identities.

Contribution

It introduces a method to incorporate gauge-invariant operators and scalars into the superspace formulation while preserving the symmetry structure.

Findings

WT identities simplified to a single derivative condition

Gauge-invariant operators incorporated without breaking symmetry

Scalars included maintaining superspace consistency

Abstract

In a superspace formulation of Yang-Mills theory previously proposed, we show how gauge-invariant operators and scalars can be incorporated keeping intact the (broken) $Osp(3,1|2)$ symmetry of the superspace action. We show in both cases, that the WT identities can be cast in a simple form $\frac{\partial\bar{W}}{\partial\theta}=0$.