Relativistic hydrodynamics with the parity anomaly

Napat Poovuttikul

doi:10.1007/jhep02(2022)018

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arXiv · 2105.13275

Relativistic hydrodynamics with the parity anomaly

Napat Poovuttikul

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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.

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Napat Poovuttikul. 2021-05-27. Relativistic hydrodynamics with the parity anomaly. https://doi.org/10.1007/jhep02(2022)018

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