Dyons in QCD: Confinement and Chiral Symmetry Breaking

TL;DR

This paper explores dyonic solutions in SU(2) gluodynamics, analyzing their interactions, topological properties, and role in confinement and chiral symmetry breaking, providing both analytical and numerical insights.

Contribution

It presents explicit forms of dyonic solutions, addresses the composition of dyonic gases, and links these solutions to confinement and chiral symmetry breaking in QCD.

Findings

Dyonic solutions are explicitly constructed in various gauges.

The interaction between dyons is characterized both analytically and numerically.

Dyonic gases can induce confinement and chiral symmetry breaking.

Abstract

Dyonic classical solutions of $SU(2)$ gluodynamics are discussed. Exact form of dyonic solutions in different gauges is presented and the nontrivial problem of composition of the dilute gas of dyons is settled. Classical interaction between (anti)dyons is considered both analytically and numerically. Confinement in the dyonic gas is discussed in connection with the topological properties of individual dyon solution. Fermionic zero modes of dyonic are displayed and the chiral symmetry breaking in the dyonic gas is demonstrated.