On a Holographic Model for Confinement/Deconfinement

TL;DR

This paper investigates the thermodynamics of holographic models with infrared cut-offs, demonstrating a phase transition analogous to confinement/deconfinement in gauge theories, using holographic renormalization techniques.

Contribution

It provides a detailed analysis of the Hawking Page transition in both hard wall and soft wall models, highlighting their universality in holographic confinement scenarios.

Findings

Hawking Page phase transition confirmed in hard wall model

Entropy jumps from N^0 to N^2 at transition

Similar results observed in soft wall model

Abstract

We study the thermodynamics of the hard wall model, which consists in the introduction of an infrared cut-off in asymptotically AdS spaces. This is a toy model for confining backgrounds in the context of the gauge/gravity correspondence. We use holographic renormalization and reproduce the existence of a Hawking Page phase transition recently discussed by Herzog. We also show that the entropy jumps from $N^0$ to $N^2$, which reinforces the interpretation of this transition as the gravity dual of confinement/deconfinement. We also show that similar results hold for the phenomenologically motivated soft wall model, underlining the potential universality of our analysis.