Green's Functions in Axial and Lorentz-type Gauges and Application to The Axial Pole Prescription and The Wilson Loop

TL;DR

This paper explores the relationship between Green's functions in axial and Lorentz gauges using finite field-dependent BRS transformations, addressing gauge pole issues and Wilson loop preservation.

Contribution

It introduces a method to connect Green's functions across gauges that maintains gauge-invariant observables and applies this to axial gauge pole problems and Wilson loop conservation.

Findings

Finite field-dependent BRS transformations preserve gauge-invariant observables.

The method addresses axial gauge pole issues effectively.

Wilson loop and thermal Wilson loop are preserved under the transformation.

Abstract

We summarize the work done in connecting Green's functions in a different classes of gauges and its applications to the problems in the axial gauges.The procedure adopted uses finite field-dependent BRS [FFBRS] transformations to connect axial and the Lorentz type gauges.These transformations preserve the vacuum expectation of gauge-invariant observables explicitly. We discuss the applications of these ideas to the axial gauge pole problem and to the preservation of the Wilson loop and the thermal Wilson loop.