Holography and Thermodynamics of 5D Dilaton-gravity

TL;DR

This paper investigates 5D dilaton gravity solutions with a focus on holographic duals to Yang-Mills theory, revealing a Hawking-Page transition linked to confinement and deconfinement, and analyzing thermodynamic properties and condensates.

Contribution

It demonstrates the existence and uniqueness of black-hole solutions in 5D dilaton gravity with a confining potential and links the Hawking-Page transition to Yang-Mills deconfinement.

Findings

Hawking-Page transition occurs only for confining potentials.

High-temperature phase resembles a free gluon gas.

Thermal gluon condensate is essential for deconfinement.

Abstract

The asymptotically-logarithmically-AdS black-hole solutions of 5D dilaton gravity with a monotonic dilaton potential are analyzed in detail. Such theories are holographically very close to pure Yang-Mills theory in four dimensions. The existence and uniqueness of black-hole solutions is shown. It is also shown that a Hawking-Page transition exists at finite temperature if and only if the potential corresponds to a confining theory. The physics of the transition matches in detail with that of deconfinement of the Yang-Mills theory. The high-temperature phase asymptotes to a free gluon gas at high temperature matching the expected behavior from asymptotic freedom. The thermal gluon condensate is calculated and shown to be crucial for the existence of a non-trivial deconfining transition. The condensate of the topological charge is shown to vanish in the deconfined phase.