Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-28
JHEP 1001:026,2010
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 4 figures, v2: added comments about frequency-dependent conductivity at the end of section 4; references added; vers
Scientific paper
10.1007/JHEP01(2010)026
In the chiral magnetic effect an imbalance in the number of left- and right-handed quarks gives rise to an electromagnetic current parallel to the magnetic field produced in noncentral heavy-ion collisions. The chiral imbalance may be induced by topologically nontrivial gluon configurations via the QCD axial anomaly, while the resulting electromagnetic current itself is a consequence of the QED anomaly. In the Sakai-Sugimoto model, which in a certain limit is dual to large-N_c QCD, we discuss the proper implementation of the QED axial anomaly, the (ambiguous) definition of chiral currents, and the calculation of the chiral magnetic effect. We show that this model correctly contains the so-called consistent anomaly, but requires the introduction of a (holographic) finite counterterm to yield the correct covariant anomaly. Introducing net chirality through an axial chemical potential, we find a nonvanishing vector current only before including this counterterm. This seems to imply the absence of the chiral magnetic effect in this model. On the other hand, for a conventional quark chemical potential and large magnetic field, which is of interest in the physics of compact stars, we obtain a nontrivial result for the axial current that is in agreement with previous calculations and known exact results for QCD.
Rebhan Anton
Schmitt Andreas
Stricker Stefan A.
No associations
LandOfFree
Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-234250