Decomposition of the static potential in the Maximal Abelian gauge

TL;DR

This paper investigates how decomposing SU(2) gauge fields into monopole and monopoleless parts in the Maximal Abelian gauge affects the static potential, using lattice simulations in gluodynamics and QCD with varying chemical potential.

Contribution

It introduces a detailed analysis of monopole and monopoleless components in gauge fields and compares their static potentials to the non-Abelian potential in different phases.

Findings

Good agreement of the sum of components with the non-Abelian potential in the confinement phase.

Decomposition helps understand the role of monopoles in confinement.

Results have implications for understanding confinement mechanisms in QCD.

Abstract

Decomposition of SU(2) gauge field into the monopole and monopoleless components is studied in the Maximal Abelian gauge using Monte-Carlo simulations in lattice SU(2) gluodynamics as well as in two-color QCD with both zero and nonzero quark chemical potential. The interaction potential between static charges is calculated for each component and their sum is compared with the non-Abelian static potential. A good agreement is found in the confinement phase. Implications of this result are discussed.