On the relation between the width of the flux tube and $T_c^{-1}$ in lattice gauge theories

TL;DR

This paper predicts a relationship between flux tube width and inverse deconfinement temperature in lattice gauge theories, supported by numerical simulations in (2+1) dimensions.

Contribution

It introduces a quantum flux tube model that links flux tube thickness to the inverse of the deconfinement temperature, providing new theoretical predictions.

Findings

Flux tube thickness matches inverse deconfinement temperature.

Space-like string tension increases with temperature in (2+1)D.

Predictions align with recent numerical simulations.

Abstract

Within the framework of a quantum flux tube model for the interquark potential it is possible to predict that in (2+1) dimensions the space-like string tension must increase with the temperature in the deconfined phase and that the thickness of the flux tube must coincide with the inverse of the deconfinement temperature. Both these predictions are in good agreement with some recent numerical simulations of SU(2) and $Z_2$ gauge models.