On a class of embeddings of massive Yang-Mills theory

TL;DR

This paper analyzes a renormalizable embedding of massive Yang-Mills theory with BRST invariance, showing that physical observables are gauge-invariant quantities derived from the field strength and its derivatives.

Contribution

It introduces a power-counting renormalizable model embedding massive Yang-Mills theory with BRST symmetry, clarifying the structure of physical observables.

Findings

Physical observables are gauge-invariant and constructed from the field strength.

The model maintains renormalizability and BRST invariance.

Observables are characterized by cohomology classes of the BRST differential.

Abstract

A power-counting renormalizable model into which massive Yang-Mills theory is embedded is analyzed. The model is invariant under a nilpotent BRST differential s. The physical observables of the embedding theory, defined by the cohomology classes of s in the Faddeev-Popov neutral sector, are given by local gauge-invariant quantities constructed only from the field strength and its covariant derivatives.