Confining string and P-vortices in the indirect Z(2) projection of SU(2) lattice gauge theory

TL;DR

This paper investigates the behavior of P-vortices in the indirect Z(2) projection of SU(2) lattice gauge theory, revealing their distribution near the confining string and how it relates to quark-antiquark separation.

Contribution

It provides new insights into the spatial distribution of P-vortices and their suppression inside the confining string, highlighting their role in confinement mechanisms.

Findings

Vortex density is constant at large distances from the string.

Vortex density is strongly suppressed near the quark-antiquark line.

Width of vortex density distribution scales with the logarithm of quark separation.

Abstract

We study the distribution of P-vortices near the confining string in the indirect Z(2) projection of SU(2) lattice gauge theory. It occurs that the density of vortices is constant at large distances and strongly suppressed near the line connecting the test quark-antiquark pair. This means that the condensate of P-vortices is broken inside the confining string. We also find that the width of the P-vortex density distribution is proportional to the logarithm of the distance between the quark and antiquark.