标题： 横向Goldstone模式在具有平移破缺的流体中的全息描述 显示英文标题

标题： Transverse Goldstone mode in holographic fluids with broken translations

摘要： 本文中，我们通过一个特定的全息模型研究了具有自发平移破缺的流体系统中的低能剪切模式。在没有动量弛豫的情况下，我们发现横向通道中存在两个解耦的无能隙模式，其中一个纯粹是扩散模式，另一个对应于涡旋激发。扩散模式与动量守恒有关，而涡旋模式可以看作是自发对称破缺的Goldstone模式。开启一个显式但微弱地破缺平移的外源后，本应无能隙的模式都会被弛豫，并获得微小的质量间隙。最后，在强动量弛豫状态下，我们发现了一个由动量间隙设定的（伪）扩散到声波的交叉。 显示英文摘要

摘要： In this paper we investigate the low energy shear modes in fluid systems with spontaneously broken translations by a specific holographic model. In absence of momentum relaxation, we find that there exist two decoupled gapless modes in the transverse channel, one of which is purely diffusive and the other corresponds to vortex like excitations. The diffusive mode is associated with the conservation of momentum and the vortex mode can be viewed as the Goldstone mode of the spontaneous symmetry breaking. Switching on an external source which breaks the translations explicitly but weakly, the would-be gapless modes both get relaxed and acquire a tiny mass gap. Finally, in the strong momentum relaxation regime, we find a (pseudo-)diffusive-to-sound crossover that is set by a momentum gap.