On $T$ dependence of the static potential $V(T;{\vec R})$ in a finite volume

TL;DR

This paper investigates how the static potential varies with temperature in a finite volume, using a simple confinement model and Monte Carlo simulations to compare results.

Contribution

It introduces a study of the temperature dependence of the static potential in finite volume using both a simple model and Monte Carlo simulations.

Findings

Demonstrates the $T$ dependence of $V(T;\vec{R})$ in a confined system.

Provides comparison between model predictions and Monte Carlo results.

Highlights the behavior of static potential in finite volume at different temperatures.

Abstract

We study the dependence on $T$ of the static potential $V(T;{\vec R})$ defined from Wilson loops and from Polyakov loop correlators on a finite lattice. For this study we employ a simple model with confinement, and compare with MC results.