Intrinsic Width of the flux tube in 2+1 dimensional Yang-Mills theories

TL;DR

This study investigates the intrinsic width of flux tubes in 2+1 dimensional SU(2) Yang-Mills theory, revealing temperature-dependent behavior and universality near the deconfinement transition.

Contribution

It provides updated measurements of the flux tube's intrinsic width and explores its temperature dependence and universality properties.

Findings

Intrinsic width is temperature-independent at low temperatures.

Width increases as temperature approaches the deconfinement point.

Results align with the Svetitsky-Yaffe universality class.

Abstract

We present our updated results on the intrinsic width of the profile of the flux tube in (2+1)-dimensional Yang-Mills theory with SU(2) gauge group. We identify the intrinsic width as the characteristic length scale of the exponentially decaying tails of the profile of the flux tube. Inspecting a broad range of temperature, we check that this length does not depend on the length of the flux tube. Our estimations of the intrinsic width show a constant value at low temperature and a growing trend approaching the deconfinement temperature that can be understood from the universality class of the phase transition via the Svetitsky-Yaffe mapping.