A Lorentz invariant formulation of the Yang-Mills theory with gauge invariant ghost field Lagrangian

TL;DR

This paper introduces a Lorentz invariant formulation of Yang-Mills theory that maintains gauge invariance in ghost fields and ensures a unique gauge fixing, enhancing the theoretical consistency of gauge theories.

Contribution

It proposes a novel Lorentz invariant approach to Yang-Mills theory with gauge invariant ghost interactions and a unique gauge fixing condition.

Findings

Achieves manifest covariance in gauge fixing.

Maintains gauge invariance in ghost field interactions.

Ensures a unique representative in gauge equivalence classes.

Abstract

A new formulation of the Yang-Mills theory which allows a manifestly covariant gauge fixing accompanied by a gauge invariant ghost field interaction is proposed. The gauge condition selects a unique representative in the class of gauge equivalent configurations.