QCD-Thermodynamics using 5-dim Gravity

TL;DR

This paper uses a 5-dimensional gravity model in AdS/QCD to compute thermodynamic properties of the gluon plasma, including critical temperature and free energy, and explores effects of flavor number and running coupling.

Contribution

It introduces a method to calculate finite temperature QCD observables using a dilaton potential in AdS/QCD, incorporating renormalization and flavor effects.

Findings

Calculated critical temperature and free energy of gluon plasma.

Analyzed the impact of flavor number on critical temperature.

Studied temperature-dependent properties like speed of sound and Polyakov loop.

Abstract

We calculate the critical temperature and free energy of the gluon plasma using the dilaton potential arXiv:0911.0627[hep-ph] in the gravity theory of AdS/QCD. The finite temperature observables are calculated in two ways: first, from the Page-Hawking computation of the free energy, and secondly using the Bekenstein-Hawking proportionality of the entropy with the area of the horizon. Renormalization is well defined, because the T=0 theory has asymptotic freedom. We further investigate the change of the critical temperature with the number of flavours induced by the change of the running coupling constant in the quenched theory. The finite temperature behaviour of the speed of sound, spatial string tension and vacuum expectation value of the Polyakov loop follow from the corresponding string theory in AdS_5.