论文标题
有关拓扑流体动力模式的更多信息
More on Topological Hydrodynamic Modes
论文作者
论文摘要
基于以前的工作，可以通过微弱地破坏能量动量保护，在本文中可以找到相对论流体动力学中无处不在的无间隙模式，我们研究了产生相同流体动力学模式的全息系统。在流体动力学系统中，获得能量动量不保存的一种可能性是将系统与外部重力场息息，即在特殊的非惯性框架中观察该系统。与流体动力系统中发生的情况相似，全息图的非惯性框架版本确实产生了相同的拓扑非平凡的无间隙流体动力模式。我们还将相对论流体动力学中拓扑模式的研究概括为一个额外的U（1）电流，并发现当我们考虑更多的质量术语可能性时，可能存在更复杂的拓扑相图。我们还讨论了在非惯性参考框架中观察到的频谱中这种拓扑变化的可能基本机制。
Based on previous work that topologically nontrivial gapless modes in relativistic hydrodynamics could be found by weakly breaking the energy momentum conservation, in this paper, we study the holographic system which produces the same hydrodynamic modes. In the hydrodynamic system, one possibility to obtain the energy momentum non-conservation is to couple the system to external gravitational fields, i.e. to observe the system in a special non-inertial frame. Similar to what happens in the hydrodynamic system, a non-inertial frame version of holography indeed produces the same topologically nontrivial gapless hydrodynamic modes. We also generalize the study of topological modes in relativistic hydrodynamics to the case with one extra U(1) current and find that more complicated topological phase diagrams could exist when we consider more possibilities of the mass terms. We also discuss the possible underlying mechanism for this topological change in the spectrum when being observed in a non-inertial reference frame.
