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.

中文翻译：

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破碎的Lifshitz不变性，自旋波和流体动力学

在本文中，基于热力学的基本原理，我们探讨了在存在旋转不变性的情况下相互作用的Lifshitz场论的流体力学机制。我们计算熵流并发现新的耗散效应，该效应与流体中局部熵产生的原理一致。在我们的分析中，我们考虑了微分展开中奇偶校验位和奇数奇偶校验段到一阶。最后，我们认为，本文的当前构造可以系统地识别为在某些限制条件下与自旋波相关联的流体力学描述（远离量子临界域）。