Towards a Holographic Quark Matter Crystal

TL;DR

This paper develops a gravity dual model for a strongly coupled quark-gluon plasma with finite temperature and density, revealing phase transitions and instabilities related to translation symmetry breaking.

Contribution

It constructs a novel holographic model incorporating backreacted flavor branes at finite density and temperature, exploring the resulting phase structure and instabilities.

Findings

Presence of a Landau pole in the UV regime.

Infrared Lifshitz geometry at zero temperature.

Thermodynamic and dynamic instabilities at low temperature and high charge density.

Abstract

We construct the gravity dual of $d=4$, $\mathcal{N}=4$, SU($N_\rm{c}$) super Yang-Mills theory, coupled to $N_\rm{f}$ flavors of dynamical quarks, at non-zero temperature $T$ and non-zero quark density $N_\rm{q}$. The supergravity solutions possess a regular horizon if $T>0$ and include the backreaction of $N_\rm{c}$ color D3-branes and $N_\rm{f}$ flavor D7-branes with $N_\rm{q}$ units of electric flux on their worldvolume. At zero temperature the solutions interpolate between a Landau pole singularity in the ultraviolet and a Lifshitz geometry in the infrared. At high temperature the thermodynamics is directly sensitive to the Landau pole, whereas at low temperature it is not, as expected from effective field theory. At low temperature and sufficiently high charge density we find thermodynamic and dynamic instabilities towards the spontaneous breaking of translation invariance.