Decomposition of the static potential in SU(3) gluodynamics

TL;DR

This paper investigates the decomposition of the static potential in SU(3) gluodynamics by separating Abelian monopole contributions from the nonabelian gauge field, demonstrating that their sum closely approximates the original potential across various distances.

Contribution

It introduces a method to decompose the SU(3) static potential into Abelian monopole and non-monopole parts, showing their sum reproduces the original potential accurately.

Findings

Sum of Abelian monopole and non-monopole potentials approximates the nonabelian potential

Decomposition method compares favorably with other approaches

Good agreement observed at all considered distances

Abstract

After fixing the Maximal Abelian gauge in SU(3) lattice gluodynamics we decompose the nonabelian gauge field into the Abelian field created by Abelian monopoles and the modified nonabelian field with monopoles removed. We then calculate respective static potentials in the fundamental representation and show that the sum of these potentials approximates the nonabelian static potential with good precision at all distances considered. Comparison with other ways of decomposition is made.