Temperature and quark density effects on the chiral condensate: an AdS/QCD study

TL;DR

This study uses a holographic QCD model to analyze how temperature and quark density influence the chiral condensate, revealing phase transition behaviors consistent with other approaches.

Contribution

It provides a holographic analysis of the chiral condensate's dependence on temperature and chemical potential, including effects of Hawking-Page transitions.

Findings

Chiral condensate decreases with temperature and vanishes near 210 MeV at zero chemical potential.

Increasing chemical potential at fixed temperature similarly reduces the condensate.

Results align with those obtained from other theoretical methods.

Abstract

We investigate the dependence of the chiral condensate $<\bar qq>$ on the temperature and quark density using the soft-wall holographic model of QCD, adopting geometries with black holes at finite temperature and quark chemical potential $\mu$. We find that, for $\mu$ below a critical value, increasing the temperature the condensate decreases and vanishes at a temperature $\tilde T\simeq 210$ MeV (at $\mu=0$). An analogous behaviour is observed increasing the chemical potential at fixed temperature. These results agree with the findings obtained by other methods. We also comment on the robustness of the results if geometries not involving black holes are adopted at low temperature, and an Hawking-Page transition is implemented.