The flux-tube phase transition and bound states at high temperatures

TL;DR

This paper analyzes the phase transition in dual Yang-Mills theory at finite temperature, deriving the effective mass of the dual gauge field and exploring conditions for quark-antiquark bound states above deconfinement.

Contribution

It introduces an analytical criterion for the existence of quark-antiquark bound states at high temperatures, linking phase transition and bound state stability.

Findings

Derived the temperature-dependent effective mass of the dual gauge field.

Established a criterion for quark-antiquark bound state existence above deconfinement.

Analyzed the symmetry breaking associated with the phase transition.

Abstract

We consider the phase transition in the dual Yang-Mills theory at finite temperature $T$. The phase transition is associated with a change (breaking) of symmetry. The effective mass of the dual gauge field is derived as a function of $T$-dependent gauge coupling constant. We investigate the analytical criterion constraining the existence of a quark-antiquark bound state at temperatures higher than the temperature of deconfinement.