Geometry of three dimensional vacuum domains in four dimensional SU(2) gluodynamics

TL;DR

This paper reviews lattice simulation results on three-dimensional vacuum domains in SU(2) gluodynamics, highlighting their scaling behavior, correlation properties, and observed anisotropy, contributing to understanding non-perturbative vacuum structure.

Contribution

It introduces a new analysis of negative link correlators in SU(2) vacuum domains, revealing anisotropy and scaling properties in the continuum limit.

Findings

Defects scale in physical units.

Correlator of negative links scales in physical units.

Strong anisotropy observed in the correlator.

Abstract

We review briefly recent results of lattice simulations on 3d domains in the vacuum state of SU(2) gluodynamics. The defects are defined as unification of all the negative links in central projection under condition that the total number of negative links is minimized. In the continuum limit, negative links correspond, generally speaking to singular fields. The data indicate that total volume of the defects scales in physical units. We consider also correlator of negative links. The correlator scales in physical units as well, within the error bars. A new observation reported here is a strong anisotropy of the correlator.