Abelian projected monopoles - to be or not to be

TL;DR

This paper investigates the behavior of constituent monopoles in SU(3) calorons, revealing that some identified defects via abelian projection are not directly associated with the actual monopoles.

Contribution

It provides new insights into the relationship between abelian projection defects and constituent monopoles in SU(3) calorons.

Findings

Not all defects identified by eigenvalue degeneracy correspond to actual monopoles.

Some defects are unrelated to the constituent monopoles.

Analysis of monopole merging behavior in SU(3) calorons.

Abstract

We analyse what happens with two merging constituent monopoles for the SU(3) caloron. Identified through degenerate eigenvalues (the singularities or defects of the abelian projection) of the Polyakov loop, it follows that there are defects that are not directly related to the actual constituent monopoles.