Static quark potential and effective string corrections in the (2+1)-d SU(2) Yang-Mills theory

TL;DR

This paper presents precise measurements of the static quark potential in (2+1)-dimensional SU(2) Yang-Mills theory, analyzing deviations from linearity and comparing with effective string models at zero and finite temperatures.

Contribution

It provides high-accuracy data on the static quark potential and examines universal features across different gauge theories, testing effective string corrections in (2+1) dimensions.

Findings

Quantitative agreement with effective string predictions at zero temperature.

Observation of universal features across different gauge theories.

Identification of temperature-dependent corrections to the potential.

Abstract

We report on a very accurate measurement of the static quark potential in SU(2) Yang-Mills theory in (2+1) dimensions in order to study the corrections to the linear behaviour. We perform numerical simulations at zero and finite temperature comparing our results with the corrections given by the effective string picture in these two regimes. We also check for universal features discussing our results together with those recently published for the (2+1)-d Z(2) and SU(3) pure gauge theories.