Holographic gravitational anomaly and chiral vortical effect
Holographic gravitational anomaly and chiral vortical effect
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DOI：
10.1007/jhep09(2011)121
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发表时间：
2011-07
影响因子：
5.4
通讯作者：
K. Landsteiner;E. Megías;Luis Melgar;Francisco Peña-Benítez
中科院分区：
文献类型：
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作者：
K. Landsteiner;E. Megías;Luis Melgar;Francisco Peña-Benítez
我们分析了具有纯规范和混合规范引力 Chern-Simons 项的全息模型。这些是手性费米子四维场论中常见手性和混合规范引力异常的全息实现。我们讨论了全息重正化，并表明规范引力陈-西蒙斯项不会引起新的发散。然而，为了消除有限距离边界处的外在曲率的贡献，必须添加一种新型的反项。如果规范场强度在边界上消失，这个反项也可以使狄利克雷问题得到很好的定义。带电渐近 AdS 黑洞是该理论的一个解，作为应用，我们通过 Kubo 公式计算手性磁导率和手性涡电导率。我们发现与T 2 成比例的特征项在强耦合时也存在，并且与弱耦合结果相比，其数值没有被重整化。
We analyze a holographic model with a pure gauge and a mixed gauge-gravitational Chern-Simons term in the action. These are the holographic implementations of the usual chiral and the mixed gauge-gravitational anomalies in four dimensional field theories with chiral fermions. We discuss the holographic renormalization and show that the gauge-gravitational Chern-Simons term does not induce new divergences. In order to cancel contributions from the extrinsic curvature at a boundary at finite distance a new type of counterterm has to be added however. This counterterm can also serve to make the Dirichlet problem well defined in case the gauge field strength vanishes on the boundary. A charged asymptotically AdS black hole is a solution to the theory and as an application we compute the chiral magnetic and chiral vortical conductivities via Kubo formulas. We find that the characteristic term proportional to T 2 is present also at strong coupling and that its numerical value is not renormalized compared to the weak coupling result.