Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD

TL;DR

This paper reinterprets the confinement/deconfinement transition in holographic QCD, proposing a Gregory-Laflamme transition as the correct dual, and offers new insights into the thermodynamics and chiral symmetry restoration.

Contribution

It introduces a novel gravity dual description of the confinement/deconfinement transition using Gregory-Laflamme transitions, challenging previous interpretations based on black D4 branes.

Findings

The black D4 brane and YM4 deconfinement phase have different Z_N center symmetries.

A Gregory-Laflamme transition of the AdS soliton is proposed as the dual of the confinement/deconfinement transition.

A new mechanism for chiral symmetry restoration in holographic QCD is demonstrated.

Abstract

We discuss the phase structure of N D4 branes wrapped on a temporal (Euclidean) and a spatial circle, in terms of the near-horizon AdS geometries. This system has been studied previously to understand four dimensional pure SU(N) Yang-Mills theory (YM4) through holography. In the usual treatment of the subject, the phase transition between the AdS soliton and the black D4 brane is interpreted as the strong coupling continuation of the confinement/deconfinement transition in YM4. We show that this interpretation is not valid, since the black D4 brane and the deconfinement phase of YM4 have different realizations of the Z_N centre symmetry and cannot be identified. We propose an alternative gravity dual of the confinement/deconfinement transition in terms of a Gregory-Laflamme transition of the AdS soliton in the IIB frame, where the strong coupling continuation of the deconfinement phase of YM4 is a localized D3 soliton. Our proposal offers a new explanation of several aspects of the thermodynamics of holographic QCD. As an example, we show a new mechanism of chiral symmetry restoration in the Sakai-Sugimoto model. The issues discussed in this paper pertain to gravity duals of non-supersymmetric gauge theories in general.