Anomaly Induced Transport in Arbitrary Dimensions

TL;DR

This paper proposes a comprehensive form for anomaly-induced charge and energy transport in arbitrary even dimensions, ensuring consistency with thermodynamic laws and exploring finite temperature effects.

Contribution

It introduces a universal framework for anomaly-induced transport that satisfies all second law constraints without relying on lower-order hydrodynamic equations.

Findings

Formulates anomaly-induced transport in arbitrary dimensions.

Ensures second law compliance at all orders in hydrodynamics.

Analyzes finite temperature corrections to transport coefficients.

Abstract

Motivated by the consistency of a global anomaly with the second law of thermodynamics, we propose a form for the anomaly induced charge/energy transport in arbitrary even dimensions. In a given dimension, this form exhausts all second law constraints on anomaly induced transport at any given order in hydrodynamic derivative expansion. This is achieved by solving the second law constraints off-shell without resorting to hydrodynamic equations at lower orders. We also study various possible finite temperature corrections to such anomaly induced transport coefficients.