Hall conductivity of flavor fields from AdS/CFT correspondence
Hall conductivity of flavor fields from AdS/CFT correspondence
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AdS/CFT 对应风味场的霍尔电导率
DOI：
10.1103/physrevd.76.086007
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发表时间：
2007
影响因子：
5
通讯作者：
A. O’Bannon
中科院分区：
文献类型：
--
作者：
A. O’Bannon
我们使用 AdS/CFT 对应关系来计算与有限重子密度下的大规模 $\mathcal{N}=2$ 超对称超多重场相关的电导率，通过 $\mathcal{N}=4$ 超对称 $SU({N}_{c})$ Yang-Mills 等离子体在大 ${N}_{c}$、大 't Hooft 耦合极限中传播。我们通过引入与重子数耦合的外部电场和磁场并计算产生的感应电流，从中提取电导率张量来实现这一点。在大的超多重质量下，我们计算载流子上的阻力。我们还计算了阻力系数与动质量的乘积，发现答案与零密度情况没有变化。引力对偶是一个探测器 D7 膜，具有非平凡的世界体积规场配置，处于 AdS-Schwarzschild 背景中。我们在 D7 膜世界体积上确定了一个有效地平线，类似于在相同背景下移动的弦所观察到的世界片地平线。我们将我们的结果推广到由不同背景下的 D-膜探针描述的一类理论。
We use the AdS/CFT correspondence to compute a conductivity associated with massive $\mathcal{N}=2$ supersymmetric hypermultiplet fields at finite baryon density, propagating through an $\mathcal{N}=4$ supersymmetric $SU({N}_{c})$ Yang-Mills plasma in the large ${N}_{c}$, large 't Hooft coupling limit. We do so by introducing external electric and magnetic fields coupled to baryon number and computing the resulting induced current, from which we extract the conductivity tensor. At large hypermultiplet mass we compute the drag force on the charge carriers. We also compute the product of the drag coefficient with the kinetic mass, and find that the answer is unchanged from the zero-density case. The gravitational dual is a probe D7-brane, with a nontrivial world volume gauge field configuration, in an AdS-Schwarzschild background. We identify an effective horizon on the D7-brane world volume analogous to the world sheet horizon observed for strings moving in the same background. We generalize our results to a class of theories described by probe D-branes in various backgrounds.