Lattice monopoles in hot SU(2) gluodynamics as blocked continuum defects

TL;DR

This paper models lattice monopoles in high-temperature SU(2) gluodynamics as continuum monopoles, providing a continuum Coulomb gas framework that accurately describes numerical data for monopole density and action.

Contribution

It introduces a novel approach linking lattice monopoles to continuum monopoles via a blocking procedure, enabling a continuum description of lattice monopole dynamics.

Findings

Successful description of monopole density data

Accurate modeling of lattice monopole action

Validation of the continuum Coulomb gas model

Abstract

We propose to consider lattice monopoles in gluodynamics as continuum monopoles blocked to the lattice. In this approach the lattice is associated with a measuring device consisting of finite-sized detectors of monopoles (lattice cells). Thus a continuum monopole theory defines the dynamics of the lattice monopoles. We apply this idea to the static monopoles in high temperature gluodynamics. We show that our suggestion allows to describe the numerical data both for the density of the lattice monopoles and for the lattice monopole action in terms of a continuum Coulomb gas model.