Broken Lifshitz invariance, spin waves and hydrodynamics

TL;DR

This paper investigates the hydrodynamics of Lifshitz field theories with broken rotational symmetry, revealing new dissipative effects and linking the framework to spin wave dynamics beyond quantum criticality.

Contribution

It introduces a hydrodynamic description for Lifshitz theories with broken rotational invariance, including entropy current analysis and dissipative effects, connecting to spin wave phenomena.

Findings

Discovery of new dissipative effects consistent with entropy production.

Extension of hydrodynamics to Lifshitz theories with broken rotational symmetry.

Identification of the framework with spin wave hydrodynamics under certain conditions.

Abstract

In this paper, based on the basic principles of thermodynamics, we explore the hydrodynamic regime of interacting Lifshitz field theories in the presence of broken rotational invariance. We compute the entropy current and discover new dissipative effects those are consistent with the principle of local entropy production in the fluid. In our analysis, we consider both the parity even as well as the parity odd sector upto first order in the derivative expansion. Finally, we argue that the present construction of the paper could be systematically identified as that of the hydrodynamic description associated with \textit{spin waves} (away from the domain of quantum criticality) under certain limiting conditions.