Holographic gravitational anomaly and chiral vortical effect

被引：177

作者：

Landsteiner, Karl ^{[1
]}

Megias, Eugenio ^{[1
]}

Melgar, Luis ^{[1
]}

Pena-Benitez, Francisco ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Inst Fis Teor UAM CSIC, E-28049 Madrid, Spain

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 09期

关键词：

Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and quark-gluon plasmas; Anomalies in Field and String Theories; FIELD-THEORIES;

D O I：

10.1007/JHEP09(2011)121

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页数：26

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