Particle Mesh Ewald's Method and Non-Interacting Dyon Gas

TL;DR

This paper applies particle mesh Ewald's method to analyze the free energy of a quark-antiquark pair in a non-interacting dyon gas, revealing linear potential growth and temperature-dependent string tension.

Contribution

It introduces the use of particle mesh Ewald's method for studying non-interacting dyon ensembles and their impact on quark-antiquark free energy.

Findings

Free energy increases linearly with quark-antiquark separation.

String tension decreases as temperature approaches deconfinement.

Method provides a new computational approach for non-interacting dyon systems.

Abstract

We study the free energy of a quark-antiquark pair near the deconfinement temperature by particle mesh Ewald's method for non-interacting dyon ensemble. We show that the free energy of the quark-antiquark pair increases linearly by increasing the distance between them. The string tension decreases by increasing the temperature, as expected.