# Dual Superconductor Scenario of Confinement: A Systematic Study of Gribov Copy Effects

## TL;DR

This paper investigates how Gribov copies in maximal abelian gauge affect the dual superconductor model of confinement, using lattice gauge theory simulations to quantify their impact on string tensions and potential decomposition.

## Contribution

It introduces a novel method for estimating systematic uncertainties from incomplete gauge fixing and provides numerical analysis of Gribov copy effects on confinement indicators.

## Key findings

- Abelian and non-abelian string tensions differ significantly.
- The ratio of string tensions is approximately 0.92 at BETA=2.5115.
- The abelian potential approximately factorizes into monopole and photon contributions.

## Abstract

We perform a study of the effects from maximal abelian gauge Gribov copies in the context of the dual superconductor scenario of confinement, on the basis of a novel approach for estimation of systematic uncertainties from incomplete gauge fixing. We present numerical results, in SU(2) lattice gauge theory, using the overrelaxed simulated annealing gauge fixing algorithm. We find abelian and non-abelian string tensions to differ significantly, their ratio being 0.92(4) at BETA = 2.5115. An approximate factorization of the abelian potential into monopole and photon contributions has been confirmed, the former giving rise to the abelian string tension.