Higher Derivative Corrections to Charged Fluids in 2n Dimensions

TL;DR

This paper investigates the effects of gauge anomalies on charged fluids in 2n dimensions up to sub-leading derivatives, establishing constraints on transport coefficients and introducing a new counting mechanism for fluid data.

Contribution

It introduces a novel method to count fluid data at arbitrary derivative order and derives constraints on transport coefficients considering gauge anomalies.

Findings

Constraints on sub-leading order transport coefficients derived.

A new counting mechanism for fluid data introduced.

Extended analysis to sub-sub-leading order with gauge and gravitational anomalies.

Abstract

We study anomalous charged fluid in $2n$-dimensions ($n\geq 2$) up to sub-leading derivative order. Only the effect of gauge anomaly is important at this order. Using the Euclidean partition function formalism, we find the constraints on different sub-leading order transport coefficients appearing in parity-even and odd sectors of the fluid. We introduce a new mechanism to count different fluid data at arbitrary derivative order. We show that only the knowledge of independent scalar-data is sufficient to find the constraints. In appendix we further extend this analysis to obtain fluid data at sub-sub-leading order (where both gauge and gravitational anomaly contribute) for parity-odd fluid.