期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2011)121
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and quark-gluon plasmas; Anomalies in Field and String Theories
资金
- Plan Nacional de Altas Energias [FPA2009-07908]
- Spanish MICINN [CSD2007-00042]
- Comunidad de Madrid HEP-HACOS [S2009/ESP-1473]
- CPI Comunidad de Madrid
- [BES-2010-041571]
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.
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