标题： 有效 Lifshitz 黑洞，流体力学和流体/引力对应中的输运系数 显示英文标题

标题： Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence

摘要： 在流体/引力膜范式中讨论了具有任意动力学指数的有效Lifshitz黑洞。 在对应的Lifshitz场论中计算和分析了输运和响应系数，包括电荷扩散常数和剪切模态阻尼常数，以及剪切粘度与熵密度的比值。 通过Lifshitz黑洞膜几何中规范矢量扰动的全息线性响应，应用Kubo公式获得了对应于杂质的规范部分的电DC电导率。 显示英文摘要

摘要： Effective Lifshitz black holes with arbitrary dynamical exponent are addressed in the fluid/gravity membrane paradigm. The transport and the response coefficients in the dual Lifshitz field theory are calculated and analyzed, including the charge diffusion constant and the shear mode damping constant, along with the shear-viscosity-to-entropy density ratio. The Kubo formula is employed to obtain the electrical DC conductivity for the gauge sector corresponding to impurity through the holographic linear response of gauge vector fluctuations in the Lifshitz black brane geometry.