Relativistic hydrodynamics with the parity anomaly

Abstract

AbstractWe consider the hydrodynamic regime of a 2+1 dimensions QFT with the parity anomaly. Beyond the known constraints from positivity of entropy production, we show that the anomaly inflow mechanism, from a corresponding bulk SPT phase, together with thermodynamic consistency of equilibrium partition functions, restricts the form of non-dissipative transport coefficients. This included the known form of quantised Hall conductivity, which is fixed to beσxy=e2/2h, along with new constraints on other three non-dissipative parity-odd transport coefficients.