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Holographic anomalous conductivities and the chiral magnetic effect

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Abstract

We calculate anomaly induced conductivities from a holographic gauge theory model using Kubo formulas, making a clear conceptual distinction between thermodynamic state variables such as chemical potentials and external background fields. This allows us to pinpoint ambiguities in previous holographic calculations of the chiral magnetic conductivity. We also calculate the corresponding anomalous current three-point functions in special kinematic regimes. We compare the holographic results to weak coupling calculations using both dimensional regularization and cutoff regularization. In order to reproduce the weak coupling results it is necessary to allow for singular holographic gauge field configurations when a chiral chemical potential is introduced for a chiral charge defined through a gauge invariant but non-conserved chiral density. We argue that this is appropriate for actually addressing charge separation due to the chiral magnetic effect.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8–10, 1040, Vienna, Austria

    Antti Gynther & Anton Rebhan

  2. Instituto de Física Teórica CSIC-UAM, C-XVI Universidad Autónoma de Madrid, E-28049, Madrid, Spain

    Karl Landsteiner & Francisco Pena-Benitez

Authors
  1. Antti Gynther
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  2. Karl Landsteiner
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  3. Francisco Pena-Benitez
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  4. Anton Rebhan
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Correspondence to Antti Gynther.

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ArXiv ePrint: 1005.2587

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Gynther, A., Landsteiner, K., Pena-Benitez, F. et al. Holographic anomalous conductivities and the chiral magnetic effect. J. High Energ. Phys. 2011, 110 (2011). https://doi.org/10.1007/JHEP02(2011)110

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  • DOI: https://doi.org/10.1007/JHEP02(2011)110

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