On the gauge dependence of the singlet and adjoint potentials

TL;DR

This paper investigates how the definitions of singlet and adjoint potentials in SU(2) lattice gauge theory depend on the choice of gauge, revealing significant differences across gauges.

Contribution

It provides a comparative analysis of gauge dependence for singlet and adjoint potentials, highlighting discrepancies in different gauge choices.

Findings

Singlet potential varies between maximal tree axial and Coulomb gauges.

Range of gauge parameters affects the singlet potential in generalized Coulomb gauge.

Gauge choice significantly influences the computed potentials.

Abstract

We study gauge dependence of the recently suggested definition of the singlet and adjoint potentials in SU(2) lattice gauge theory. We find that in the (time local) maximal tree axial gauge the singlet potential obtained from the gauge dependent correlator ${Tr} L(x)L^\dagger(y)$ differs from that computed in the Coulomb gauge. In the generalized Coulomb gauge we find the range of the parameter values in which the singlet potential differs from that in the Coulomb gauge.