论文标题

全息亚扩散

Holographic subdiffusion

论文作者

Ganesan, Koushik, Lucas, Andrew

论文摘要

我们使用仪表重力双重性进行了一项研究,对无间隙和强耦合量子理论的有限温度转运。在具有非动力学重力的模型中,我们模型的整体场包括一个编码边界多极对称性的合适的混合量张量。我们描述了这种理论如何在低能量的理论中以协变量作用产生。研究响应函数在零密度时,我们发现电荷通过四阶次扩散方程式放松,与最近开发的现场理论框架一致。

We initiate a study of finite temperature transport in gapless and strongly coupled quantum theories with charge and dipole conservation using gauge-gravity duality. In a model with non-dynamical gravity, the bulk fields of our model include a suitable mixed-rank tensor which encodes the boundary multipole symmetry. We describe how such a theory can arise at low energies in a theory with a covariant bulk action. Studying response functions at zero density, we find that charge relaxes via a fourth-order subdiffusion equation, consistent with a recently-developed field-theoretic framework.

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