A Holographic Prediction of the Deconfinement Temperature

TL;DR

This paper predicts the deconfinement temperature in AdS/QCD models using a holographic approach, identifying a first order phase transition similar to Hawking-Page transition, and compares results with lattice data.

Contribution

It introduces a holographic prediction of the deconfinement temperature via a Hawking-Page transition in AdS/QCD models, providing model-dependent T_c estimates.

Findings

Deconfinement occurs via a first order Hawking-Page transition.

Deconfinement temperature T_c is close to lattice predictions in the soft wall model.

Results are consistent with temperature-independent meson spectra below T_c.

Abstract

We argue that deconfinement in AdS/QCD models occurs via a first order Hawking-Page type phase transition between a low temperature thermal AdS space and a high temperature black hole. Such a result is consistent with the expected temperature independence, to leading order in 1/N_c, of the meson spectrum and spatial Wilson loops below the deconfinement temperature. As a byproduct, we obtain model dependent deconfinement temperatures T_c in the hard and soft wall models of AdS/QCD. Our result for T_c in the soft wall model is close to a recent lattice prediction.