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Advances in High Energy Physics
Volume 2019, Article ID 5356121, 12 pages
Research Article

Broken Lifshitz Invariance, Spin Waves, and Hydrodynamics

Department of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India

Correspondence should be addressed to Dibakar Roychowdhury; moc.liamg@syhprakabid

Received 3 December 2018; Accepted 30 April 2019; Published 2 June 2019

Guest Editor: Martiros Khurshudyan

Copyright © 2019 Dibakar Roychowdhury. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


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 which are consistent with the principle of local entropy production in the fluid. In our analysis, we consider both the parity even and 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 spin waves (away from the domain of quantum criticality) under certain limiting conditions.