Constraints on Anomalous Fluid in Arbitrary Dimensions

TL;DR

This work develops a unified, microscopic approach to anomaly-induced transport in arbitrary even dimensions by deriving and constraining the equilibrium partition function for fluids with U(1) anomalies. It shows that the universal transport coefficients are encapsulated by a single homogeneous polynomial in temperature and chemical potential, linked to the anomaly polynomial, and connects the local Gibbs-current description to the global partition-function picture. The analysis extends to multiple U(1) charges, enforces CPT constraints, and demonstrates exact agreement with hydrodynamic predictions, thereby providing a robust field-theory framework for anomaly-driven transport that can be tested holographically and extended to non-equilibrium regimes.

Abstract

Using the techniques developed in arxiv: 1203.3544 we compute the universal part of the equilibrium partition function characteristic of a theory with multiple abelian U(1) anomalies in arbitrary even spacetime dimensions. This contribution is closely linked to the universal anomaly induced transport coefficients in hydrodynamics which have been studied before using entropy techniques. Equilibrium partition function provides an alternate and a microscopically more transparent way to derive the constraints on these transport coefficients. We re-derive this way all the known results on these transport coefficients including their polynomial structure which has recently been conjectured to be linked to the anomaly polynomial of the theory. Further we link the local description of anomaly induced transport in terms of a Gibbs current to the more global description in terms of the partition function .