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arXiv 1302.1869hep-thhep-ph
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剪切粘滞度的一个普遍的费米子模拟

A universal fermionic analogue of the shear viscosity

Johanna Erdmenger, Stephan Steinfurt

摘要:

我们全息计算超对称场论中的超荷扩散常数,对偶于任意维的AdS黑膜解。这包括Kontoudi和Policastro早期工作的扩展D3-膜M2-和M5-膜理论。我们考虑化学势为零的情况。特别是,我们涉及的产品的扩散常数和能量密度的费米吸收截面的一个普遍的结果。这个关系类似于著名的$η/ s$普适性证明。我们用两种不同的方法计算扩散常数:第一,通过超对称电流相关器的低频、低动量极点进行计算。这个极点描述了流体动力学的声子模式,即无质量的戈德斯通费米子在温度下自发的超对称破缺。第二,利用体引力子的双横截模,借助于一个新的久保公式进行计算。此外,我们提供了一些证据的适用性广义降维费米子时,计算相应的D $p$ -膜扩散常数。

英文摘要:

We holographically compute supercharge diffusion constants in supersymmetric field theories, dual to AdS black brane solutions of arbitrary dimension. This includes the extension of earlier work by Kontoudi and Policastro for D3-branes to M2- and M5-brane theories. We consider the case of vanishing chemical potential. In particular, we relate the product of a diffusion constant and the energy density to a universal result for the fermionic absorption cross section. This relation is analogous to the famous proof of universality of $η/ s$. We calculate the diffusion constants in two different ways: First, the computation is performed via the low frequency, low momentum pole of the correlator of supersymmetry currents. This pole describes the hydrodynamic phonino mode, the massless Goldstone fermion of spontaneous supersymmetry breaking by temperature. Second, the calculation is carried out using the dual transversal mode of the bulk gravitino, with the help of a new Kubo formula. Moreover, we provide some evidence for the applicability of generalized dimensional reduction for fermions when computing the corresponding D$p$-brane diffusion constants.

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