Relativistic hydrodynamics with the parity anomaly
arXiv:2105.13275 · doi:10.1007/JHEP02(2022)018
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 , along with new constraints on other three non-dissipative parity-odd transport coefficients.
10+3 pages
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