Blocking of lattice monopoles from the continuum in hot lattice gluodynamics

TL;DR

This paper demonstrates how lattice monopoles in hot gluodynamics can be understood as blocked continuum monopoles, enabling predictions of their properties using a Coulomb gas model.

Contribution

It introduces a method to relate lattice monopoles to continuum monopoles, providing a predictive framework for monopole properties in high temperature gluodynamics.

Findings

Lattice monopole density and action match Coulomb gas predictions.

Continuum monopole model accurately describes lattice monopole data.

Method bridges continuum and lattice monopole descriptions in gluodynamics.

Abstract

The Abelian monopoles in lattice gluodynamics are associated with continuum monopoles blocked to the lattice. This association allows to predict the lattice monopole action and density of the (squared) monopole charges from a continuum monopole model. The method is applied to the static monopoles in high temperature gluodynamics. We show that the numerical data both for the density and the action of the lattice monopoles can be described in terms of a Coulomb gas of Abelian monopoles in the continuum.