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arXiv 1707.06989hep-th
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全息夸克物质晶体

Towards a Holographic Quark Matter Crystal

Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio

摘要:

在非零温度$T$和非零夸克密度$N_\rm{q}$条件下,我们构造了与动力学夸克的$N_\rm{f}$味耦合的$d=4$,$\mathcal{N}=4$,SU($N_\rm{c}$)super Yang-Mills理论的引力对偶.超重力解具有正则视界,如果$T>0$,并且包括$N_\rm{c}$色D3-膜和$N_\rm{f}$味D 7-膜的逆反应,其中$N_\rm{q}$单位是它们的世界体积上的电通量。在零温度下的解决方案之间的插值朗道极点奇异性在紫外线和Lifshitz几何在红外线。在高温下,热力学对朗道极直接敏感,而在低温下,正如有效场论所预期的那样,热力学对朗道极不敏感。在低温和足够高的电荷密度,我们发现对自发打破平移不变性的热力学和动力学不稳定性。

英文摘要:

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.

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