Universality of Anomalous Transport for zero temperature Superfluids

TL;DR

This paper demonstrates that zero-temperature superfluids with a U(1)^3 anomaly exhibit universal anomalous transport properties, with conductivities determined solely by anomaly coefficients, confirmed through theoretical analysis and explicit calculations.

Contribution

It provides a theoretical proof that at zero temperature, chiral conductivities in superfluids are universally fixed by anomaly coefficients, extending previous holographic model results.

Findings

Chiral conductivities at zero temperature are fully determined by anomaly coefficients.

Universal anomalous transport behavior is confirmed for generic U(1) superfluids.

Explicit calculations show conductivities are either zero or one-third of their normal fluid values.

Abstract

We show that generic U(1) superfluids with a U(1)^3 anomaly feature universal anomalous transport at low temperature. This universal behavior had been encountered before for a class holographic models by performing explicit computations: anomalous conductivities were found to either vanish or to be 1/3 of the value they present for ordinary fluids. In this note we argue in favor of the fact that at zero temperature chiral conductivities are fully determined by anomaly coefficients. We also compute them and show explicitly where their particular value arises from. The proof is based on Ward Identities plus the physical input that at zero temperature all the fluid is in its superfluid component.