Anomaly induced transport coefficients, from weak to strong coupling

TL;DR

This paper investigates anomaly-induced transport coefficients across weak and strong coupling regimes, utilizing Kubo formulas and fluid/gravity methods to analyze phenomena like the Chiral Magnetic Effect.

Contribution

It provides a comprehensive analysis of anomaly-induced transport coefficients from weak to strong coupling, including second-order coefficients via fluid/gravity correspondence.

Findings

Transport coefficients do not renormalize across couplings.

Computed second-order anomalous coefficients using fluid/gravity approach.

Analyzed the Chiral Magnetic Effect in different coupling regimes.

Abstract

The existence of new transport phenomena associated to the presence of quantum anomalies has atracted very recently the attention of theorist. These transport coefficient have very interesting properties, for example, they do not renormalize. The most famous case of anomaly induced transport phenomena is the Chiral Magnetic Effect, in which an electric current is produced by a magnetic field if the system has a different number of right handed fermions respect the left handed one. In this thesis we have studied those transport coefficients from Kubo formulas at weak and strong coupling. To finish a fluid/gravity approach is used to compute all the second order anomalous coefficients in an anomalous conformal fluid.