More about the new non-selfdual axially symmetric SU(2) calorons

TL;DR

This paper explores new non-selfdual axially symmetric SU(2) caloron solutions with trivial holonomy, highlighting their unique constituent structure and the behavior of the Polyakov loop, differing from known KvBLL calorons.

Contribution

It introduces a novel class of non-selfdual calorons with integer topological charge constituents, expanding understanding of caloron solutions in SU(2) gluodynamics.

Findings

Calorons are composed of constituents with integer topological charge.

Loci of Polyakov loop L = -1 match Higgs field zeroes.

Pointlike monopoles can form rings under certain parameters.

Abstract

We describe the recently found non-selfdual axially symmetric caloron solutions of SU(2) gluodynamics with trivial holonomy. We present the local Polyakov loop together with the action and topological charge density. Different from the well-known KvBLL calorons, the calorons considered here are composed out of pseudoparticle constituents carrying integer topological charge. The loci of Polyakov loop L = -1 correspond to the loci of Higgs field zeroes for corresponding solutions of the Yang-Mills Higgs system. For certain parameters pointlike monopole pairs turn into rings.