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.

Corrected Appendix A1. Revised the end of subsection 2.1, added the case z \neq 1

References in corpus (9)

• The Chiral Magnetic Effect
• Quantum criticality
• Gravitational Anomaly and Transport
• Topological Order and Conformal Quantum Critical Points
• Relativistic Hydrodynamics with General Anomalous Charges
• The chiral magnetic effect in hydrodynamical approach
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Revisiting non-relativistic limits
• Lifshitz Superfluid Hydrodynamics