Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
By A. Rebhan, A. Schmitt, S. Stricker. 2009
136 citations recorded by the source corpus.
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-Nc 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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a6a1ce3b46afe5d00741168be2f5ec951b8dd80e
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In Nuclear and High Energy Physics
Citations in the corpus
- Inverse magnetic catalysis in dense holographic matter (2010, background): “[42] acquire the same cusp in a0 after changing the coordinate to u).”
- Parity-violating hydrodynamics in 2 + 1 dimensions (2011, methodology): “Parity-violating transport effects were also studied in 3+1 dimensions with QCD applications in mind: using field theory techniques [24–28], in the context of hydrodynamics [29–32], and in parallel using the AdS/CFT correspondence along with hydrodynamics [33–41].”