Thermodynamics of AdS$_5$ black holes: holographic QCD and St\"uckelberg model

TL;DR

This paper investigates the thermodynamics of AdS$_5$ black holes within holographic QCD and St"uckelberg models, employing advanced mathematical techniques to match lattice data and solve equations of motion.

Contribution

It introduces a resummation method for high-temperature expansions in holographic QCD and provides solutions in the St"uckelberg model based on conformal dimensions.

Findings

Resummation of high-temperature expansion fits lattice data well.

Derived solutions for St"uckelberg model equations of motion.

Enhanced understanding of black hole thermodynamics in holographic models.

Abstract

We explore the thermodynamics of AdS$_5$ black holes in two models: i) an improved holographic QCD model with a simple dilaton potential, and ii) the St\"uckelberg model in 5D. In the former case, by applying techniques of singular perturbation theory, we obtain a resummation of the naive expansion at high temperatures, providing a good fit to the lattice data for the trace anomaly. In the latter, we find a solution of the equations of motion by considering an expansion in the conformal dimension of the current associated to the gauge field.