Renormalizability of a generalized gauge fixing interpolating among the Coulomb, Landau and maximal Abelian gauges

TL;DR

This paper investigates the renormalization properties of a generalized gauge fixing that smoothly transitions among Coulomb, Landau, and Maximal Abelian gauges within four-dimensional Euclidean Yang-Mills theories, using algebraic renormalization.

Contribution

It introduces a unified gauge fixing framework and analyzes its renormalizability, extending understanding of gauge choices in Yang-Mills theories.

Findings

The gauge fixing is renormalizable within the algebraic renormalization framework.

The interpolating gauge maintains consistency across different gauge choices.

The results support the robustness of the algebraic renormalization approach for complex gauges.

Abstract

A detailed discussion of the renormalization properties of a class of gauges which interpolates among the Landau, Coulomb and Maximal Abelian gauges is provided in the framework of the algebraic renormalization in Euclidean Yang-Mills theories in four dimensions.