Relativistic hydrodynamics with the parity anomaly

Abstract

We 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 be ${\sigma }_{xy}=e^2/2h$, along with new constraints on other three non-dissipative parity-odd transport coefficients.

arXiv comment10+3 pages

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Cited by in corpus (1)

• Anomaly-induced edge currents in hydrodynamics with parity anomaly