Constraining non-dissipative transport coefficients in global equilibrium

TL;DR

This paper derives constraints from quantum statistical and kinetic theories to determine non-dissipative transport coefficients in chiral systems at global equilibrium, ensuring consistency with anomalies and conservation laws.

Contribution

It provides a systematic method to constrain non-dissipative transport coefficients using fundamental theoretical principles in chiral fluids.

Findings

Derived explicit constraints for non-dissipative transport coefficients

Connected constraints to quantum statistical and kinetic theories

Ensured compatibility with energy-momentum conservation and anomalies

Abstract

The fluid in global equilibrium must fulfill some constraints. These constraints can be derived from quantum statistical theory or kinetic theory. In this paper we will show that how these constraints can be applied to determine the non-dissipative transport coefficients for chiral systems along with the energy-momentum conservation, chiral anomaly for charge current and trace anomaly in energy-momentum tensor.