Parity breaking transport in Lifshitz hydrodynamics

Abstract

We derive the constitutive relations of first order charged hydrodynamics for theories with Lifshitz scaling and broken parity in 2 + 1 and 3 + 1 spacetime dimensions. In addition to the anomalous (in 3+1) or Hall (in 2+1) transport of relativistic hydrodynamics, there is an additional non-dissipative transport allowed by the absence of boost invariance. We analyze the non-relativistic limit and use a phenomenological model of a strange metal to argue that these effects can be measured in principle by using electromagnetic fields with non-zero gradients