How to check that dyons are at work?

TL;DR

This paper argues for the role of dyons in confinement and deconfinement in Yang-Mills theory, proposing lattice calculations of the effective action to test their significance as physical objects.

Contribution

It introduces a method to verify the dyon mechanism through lattice calculations of the effective action based on gauge-invariant Polyakov line eigenvalues.

Findings

Dyons may correspond to lattice monopoles and vortices.

Proposes lattice calculation of the effective action as a test.

Supports or refutes the importance of dyons in the Yang--Mills vacuum.

Abstract

I present arguments in favor of the dyon mechanism of confinement and deconfinement. Dyons may be those real physical objects that are revealed as lattice monopoles in the Abelian gauges, and as central vortices in the central gauges. I suggest a lattice calculation of the effective action as function of the gauge invariant eigenvalues of the Polyakov line, which is of general interest but in particular may support or refute the importance of dyons in the Yang--Mills vacuum.