Thermodynamics of 5D dilaton-gravity

TL;DR

This paper investigates the thermodynamics of a five-dimensional dilaton-gravity model in AdS/QCD, calculating key quantities like free energy, string tension, and Polyakov loop, and compares results with lattice data.

Contribution

It provides a detailed thermodynamic analysis of the 5D dilaton-gravity model using two methods to compute free energy, enhancing understanding of holographic QCD models.

Findings

Good agreement with lattice data for thermodynamic quantities

Demonstrates consistency between different free energy calculations

Provides insights into the behavior of string tension and Polyakov loop at finite temperature

Abstract

We calculate the free energy, spatial string tension and Polyakov loop of the gluon plasma using the dilaton potential of Ref. arXiv:0911.0627[hep-ph] in the dilaton-gravity theory of AdS/QCD. The free energy is computed from the Black Hole solutions of the Einstein equations in two ways: first, from the Bekenstein-Hawking proportionality of the entropy with the area of the horizon, and secondly from the Page-Hawking computation of the free energy. The finite temperature behaviour of the spatial string tension and Polyakov loop follow from the corresponding string theory in AdS_5. Comparison with lattice data is made.