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arXiv 1502.04345hep-th
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标量黑膜的流体力学

Hydrodynamics from scalar black branes

Dibakar Roychowdhury

摘要:

在本文中,使用规范/重力对偶技术,我们探讨了一个非常特殊的一类强耦合QFT的流体动力学制度,提出了一个新兴的UV长度尺度的存在下,一个负的超标度违反指数。这些QFT的对偶引力对应物由精确可积的Einstein-scalar引力模型的标量dressed黑膜解组成,具有畴壁(DW)渐近性。在我们分析的第一部分中,我们计算了边界理论的$ R $ -电荷扩散,并发现(与纯$ AdS_{4} $黑膜的情况不同)它与温度的比例相当不平凡。在第二部分分析中,我们计算了这类特殊规范理论在非极值和极值极限下的$ η/s $比,并证明在这两种情况下它都等于$ 1/4π$。因此,这些结果表明,量子临界系统在紫外(负)超标度破坏的存在下,可能属于一个单独的普适性类相比,那些传统的量子临界系统与通常的$ AdS_4 $的。

英文摘要:

In this paper, using the Gauge/gravity duality techniques, we explore the hydrodynamic regime of a very special class of strongly coupled QFTs that come up with an emerging UV length scale in the presence of a negative hyperscaling violating exponent. The dual gravitational counterpart for these QFTs consists of scalar dressed black brane solutions of exactly integrable Einstein-scalar gravity model with Domain Wall (DW) asymptotics. In the first part of our analysis we compute the $ R $-charge diffusion for the boundary theory and find that (unlike the case for the pure $ AdS_{4} $ black branes) it scales quite non trivially with the temperature. In the second part of our analysis, we compute the $ η/s $ ratio both in the non extremal as well as in the extremal limit of these special class of gauge theories and it turns out to be eqaul to $ 1/4π$ in both the cases. These results therefore suggest that the quantum critical systems in the presence of (negative) hyperscaling violation at UV, might fall under a separate universality class as compared to those conventional quantum critical systems with the usual $ AdS_4 $ duals.

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