Radiative corrections to the anomalous conductivities in holography

Abstract

Quantum anomalies are not only one of the more subtle effects that appear in quantum field theory but it is also known that as a consequence of them the hydrodynamics of anomalous chiral imbalanced media presents P-odd and T -even transport. Macroscopically the axial anomaly allows for the generation of vector and axial currents due to external magnetic fields and rotations. The associated transport coefficients have been studied in chiral theories without dynamical gauge fields and it has been found that in this case they are subject to non-renormalization and universality theorems. In a theory that is also coupled to dynamical color fields, such as QCD, there is an extra gluon contribution to the anomalous Ward identities and it is expected for the anomalous conductivities to renormalize and receive correc- tions when this term is present. On this thesis corrections to the anomalous transport coefficients due to the axial-gluon anomaly are presented, the cal- culations are done in the strongly coupled regime using the gauge/gravity duality on a universality class of two derivative holographic models.