paper

Towards a Holographic Quark Matter Crystal

arXiv:1707.06989 · doi:10.1007/JHEP10(2017)139

Abstract

We construct the gravity dual of , , SU($N_\rm{c}$) super Yang-Mills theory, coupled to $N_\rm{f}$ flavors of dynamical quarks, at non-zero temperature and non-zero quark density $N_\rm{q}$. The supergravity solutions possess a regular horizon if 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.

38 pages plus appendices, 25 figures. v2: minor changes, published version. v3: erratum version: conclusions unchanged, discussion and figures modified consequently

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