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arXiv 0705.3870hep-th
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金属AdS/CFT

Metallic AdS/CFT

Andreas Karch, Andy O'Bannon

备注：
19 pages, no figures; v2 added two references, clarified discussion in section 3
发表信息：
JHEP 0709:024,2007
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摘要：

本文用AdS/CFT对应计算了N=4 SU（N_c）超杨-米尔斯理论等离子体在大N_c，大t Hooft耦合极限下，有限重子数密度下质量N=2超多重态场的电导率。有限的重子密度提供了类似于金属中电子的载流子。然后，外部电场感应出我们直接确定的有限电流。我们的电导率的结果是好的质量，外场和密度的所有值，关于尚未不完整的相图的模陈述。在适当的限度内，它同意从分析平衡点附近的小波动获得的已知结果。对于大质量，我们期望一个很好的准粒子描述，我们计算的阻力的载流子，并发现答案是不变的零密度的情况下。我们的方法很容易推广到广泛的一类系统的探测膜在不同的背景。

英文摘要：

We use the AdS/CFT correspondence to compute the conductivity of massive N=2 hypermultiplet fields at finite baryon number density in an N=4 SU(N_c) super-Yang-Mills theory plasma in the large N_c, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.

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