Anomaly-induced edge currents in hydrodynamics with parity anomaly
arXiv:2108.12192 · doi:10.1103/PhysRevD.104.125021
Abstract
In this paper, we discuss relativistic hydrodynamics for a massless Dirac fermion in dimensions, which has the parity anomaly -- a global 't Hooft anomaly between and parity symmetries. We investigate how hydrodynamics implements the party anomaly, particularly focusing on the transport phenomena at the boundary. Based on the parity anomaly matching and the second law of local thermodynamics, we find and entropy currents localized at the boundary as well as the bulk anomalous current with vanishing divergence. These edge currents are similar to the -dimensional chiral transports, but the coefficients are given by half of theirs. We also generalize our discussion to more general anomalies among multiple symmetries and single symmetry.
10 pages, no figures. v2 ref added, typo fixed
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