The Gribov Ambiguity for Maximal Abelian and Center Gauges in SU(2) Lattice Gauge Theory

TL;DR

This paper investigates the impact of Gribov ambiguities on the measurement of string tension in SU(2) lattice gauge theory, focusing on maximal abelian and center gauges, revealing how gauge fixing ambiguities influence physical observables.

Contribution

It provides new insights into how Gribov copies affect string tension calculations in lattice gauge theory using maximal abelian and center gauges.

Findings

String tensions decrease with higher gauge functional values.

Multiple Gribov copies influence the measured string tension.

Results highlight the importance of gauge fixing ambiguities in lattice calculations.

Abstract

We present results for the fundamental string tension in SU(2) lattice gauge theory after projection to maximal abelian and direct maximal center gauges. We generate 20 Gribov copies/configuration. Abelian and center projected string tensions slowly decrease as higher values of the gauge functionals are reached.