Anomaly-induced edge currents in hydrodynamics with parity anomaly
Anomaly-induced edge currents in hydrodynamics with parity anomaly
复制标题
DOI：
10.1103/physrevd.104.125021
复制
发表时间：
2021-08
影响因子：
5
通讯作者：
Takuya Furusawa;Masaru Hongo
中科院分区：
文献类型：
--
作者：
Takuya Furusawa;Masaru Hongo
本文讨论了（2 + 1）维无质量Dirac费米子的相对论性流体力学，它具有宇称反常--介于U（1）和宇称对称性之间的整体t Hooft反常.我们调查流体力学如何实现党的异常，特别是专注于在边界处的运输现象。基于宇称反常匹配和局域热力学第二定律，我们发现了定域在边界的U（1）流和熵流以及发散消失的体反常流。这些边缘电流类似于（1+ 1）维手征输运，但系数是它们的一半。我们也将我们的讨论推广到多重U（1）对称和单一Z2对称之间更一般的反常。
In this paper, we discuss relativistic hydrodynamics for a massless Dirac fermion in (2 + 1) dimensions, which has the parity anomaly – a global ’t Hooft anomaly between U(1) 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 U(1) and entropy currents localized at the boundary as well as the bulk anomalous current with vanishing divergence. These edge currents are similar to the (1+ 1)-dimensional chiral transports, but the coefficients are given by half of theirs. We also generalize our discussion to more general anomalies among multiple U(1) symmetries and single Z2 symmetry.