Glueballs at high temperature within the Hard-Wall holographic model

TL;DR

This paper models the high-temperature behavior of glueballs using a holographic hard-wall approach, revealing a first-order phase transition and diverging glueball masses at critical temperature.

Contribution

It introduces a holographic description of the deconfined phase transition of glueballs within the hard-wall model, highlighting a two-step transition mechanism.

Findings

First-order phase transition between thermal AdS and black hole phases.

Glueball masses diverge at the critical temperature.

Deconfined states exhibit Hagedorn-like behavior.

Abstract

In this investigation an holographic description of the deconfined phase transition of scalar and tensor glueballs is presented within the so called hard-wall model. The spectra of these bound states of gluons have been calculated from the linearized Einstein equations for a graviton propagating from a thermal $AdS_5$ space to an AdS Black-Hole. In this framework, the deconfined phase is reached via a two steps mechanism. We propose that the transition between the AdS thermal sector to the BH is described via a first order phase transition, with discontinuous masses at the critical temperature, which has been determined by Herzog's method of regulating the free energy densities. Then, the glueball masses diverge with increasing $T$ in the BH phase and thus lead to deconfined states \`a la Hagedorn.