PJLZ--gauge fixing approach in SU(2) lattice gauge theory

TL;DR

This paper investigates the SU(2) lattice gauge theory using the PJLZ gauge fixing method, revealing a non-analytic behavior at a critical interpolating parameter, which has implications for understanding gauge fixing in lattice theories.

Contribution

The study introduces an analysis of the interpolating gauge in SU(2) lattice gauge theory, highlighting non-analyticity at a specific parameter value.

Findings

Evidence of non-analyticity at λ_c ≈ 0.8

Indication of phase transition or critical behavior

Insights into gauge fixing functional behavior

Abstract

We study the SU(2) gauge theory with the interpolating gauge {\it a la} Parrinello--Jona-Lasinio--Zwanziger (PJLZ) with the gauge fixing functional $F=\sum_{x\mu} {1/2}\tr (U_{x\mu}\sigma_3U_{x\mu}^{\dagger}\sigma_3)$. We find a strong indication of the non--analiticity with respect to the interpolating parameter $\lambda$ at $\lambda_c \sim 0.8$.