Condensation of Yang-Mills field at High Temperature in the Presence of Fermions

TL;DR

This paper investigates the conditions under which the time-component of Yang-Mills fields condenses at high temperatures, demonstrating that fermions do not prevent condensation and that density effects are negligible.

Contribution

It shows that Yang-Mills field condensation occurs at high temperature regardless of fermion number or density, extending understanding of gauge field behavior in fermionic environments.

Findings

Condensation occurs regardless of fermion species.

Fermion density does not affect condensation magnitude.

Condensation persists at high temperature with fermions present.

Abstract

The possible condensation of the time-component of Yang-Mills field at finite temperature is discussed in the presence of Dirac fermions. We show that the condensation forms regardless of the number of fundamental and adjoint fermion species coupled to the Yang-Mills field. The effect of finite density of fermions is also investigated and it is shown that the magnitude of the condensation is also independent of the densities.