Monopole gas in three dimensional SU(2) gluodynamics

TL;DR

This paper investigates the properties of Abelian monopoles in three-dimensional SU(2) gauge theory, matching lattice data with a Coulomb gas model to understand monopole dynamics and screening effects.

Contribution

It introduces a blocking method to connect lattice monopole data with continuum Coulomb gas models, providing new insights into monopole density and screening length in 3D SU(2) gluodynamics.

Findings

Monopoles contribute about 75% to the Debye screening length.

Monopoles form a non-dilute Coulomb plasma.

The monopole density and screening length are quantitatively determined.

Abstract

We study properties of the Abelian monopoles in the Maximal Abelian projection of the three dimensional pure SU(2) gauge model. We match the lattice monopole dynamics with the continuum Coulomb gas model using a method of blocking from continuum. We obtain the Debye screening length and the monopole density in continuum using numerical results for the lattice density of the (squared) monopole charges and for the monopole action. The monopoles treated within our blocking method provide about 75% contribution to the non--Abelian Debye screening length. We also find that monopoles form a Coulomb plasma which is not dilute.