Phase structures emerging from holography with Einstein gravity -- dilaton models at finite temperature

TL;DR

This paper explores phase transitions in five-dimensional holographic models with scalar fields, analyzing their thermodynamics and implications for meson spectra, with potential applications to QCD.

Contribution

It clarifies how dilaton potentials influence phase structures and examines conditions for meson excitation patterns in holographic QCD models.

Findings

Identified various phase transition types in dilaton gravity models.

Linked dilaton potential features to thermodynamic phase behavior.

Analyzed conditions for meson Regge trajectories and melting phenomena.

Abstract

Asymptotic AdS Riemann space-times in five dimensions with a black brane (horizon) sourced by a fully back-reacted scalar field (dilaton) offer -- via the holographic dictionary -- various options for the thermodynamics of the flat four-dimensional boundary theory, uncovering Hawking-Page, first-order and second-order phase transitions up to a cross-over or featureless behavior. The relation of these phase structures to the dilaton potential is clarified and illustrating examples are presented. Having in mind applications to QCD we study probe vector mesons with the goal to figure out conditions for forming Regge type series of radial excitations and address the issue of meson melting.