Anomaly/Transport in an Ideal Weyl gas

TL;DR

This paper investigates anomaly-induced transport phenomena in an ideal Weyl fermion gas, linking transport coefficients to anomaly coefficients and proposing a flow model driven by vorticity.

Contribution

It introduces a novel relation between transport coefficients and the anomaly polynomial in an ideal Weyl gas, emphasizing the role of chiral state injection and vorticity.

Findings

Transport coefficients are related to anomaly coefficients.

Transport processes are modeled as chiral state injection and flow.

An elegant formula connects anomaly coefficients to the anomaly polynomial.

Abstract

We study some of the transport processes which are specific to an ideal gas of relativistic Weyl fermions and relate the corresponding transport coefficients to various anomaly coefficients of the system. We propose that these transport processes can be thought of as arising from the continuous injection of chiral states and their subsequent adiabatic flow driven by vorticity. This in turn leads to an elegant expression relating the anomaly induced transport coefficients to the anomaly polynomial of the Ideal Weyl gas.