Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-14
JHEP 1102:110,2011
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 1 figure. v2: 18 pages, 1 figure, discussion clarified throughout the text, references added, version accepted for p
Scientific paper
10.1007/JHEP02(2011)110
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.
Gynther A.
Landsteiner Karl
Pena-Benitez Francisco
Rebhan Anton
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