Anomalous transport coefficients from Kubo formulas in Holography

TL;DR

This paper develops new Kubo formulas to compute anomalous vortical conductivities in dense matter, linking them to holographic models and gravitomagnetic responses, advancing understanding of quantum anomalies in transport phenomena.

Contribution

It introduces a novel Kubo formula for vortical conductivity and applies it to holographic R-charged black holes, connecting anomalies with gravitational responses.

Findings

Derived a new Kubo formula for vortical conductivity.

Applied formulas to holographic R-charged black holes.

Linked vortical conductivity to gravitomagnetic effects.

Abstract

In the presence of dense matter quantum anomalies give rise to two new transport phenomena. An anomalous current is generated either by an external magnetic field or through vortices in the fluid carrying the anomalous charge. The associated transport coefficients are the anomalous magnetic and vortical conductivities. Whereas a Kubo formula for the anomalous magnetic conductivity is well known we develop a new Kubo type formula that allows the calculation of the vortical conductivity through a two point function of the anomalous current and the momentum density. We also point out that the anomalous vortical conductivity can be understood as a response to a gravitomagnetic field. We apply these Kubo formulas to a simple Holographic system, the R-charged black hole.