论文标题
Lifshitz黑麸皮的重力准模式
Gravitational quasinormal modes for Lifshitz black branes
论文作者
论文摘要
我们研究了在四个和五个维度的爱因斯坦 - 马克斯韦 - 迪拉顿和爱因斯坦 - 普罗卡理论中出现的LIFSHITZ黑脑的重力准模式的标量和矢量通道，发现两个模型之间存在显着差异。 In particular, rather surprisingly, in the Einstein-Maxwell-Dilaton model the dispersion relations for the shear and sound modes are given by $ω_{shear} \sim -i\,k^4$ and $ω_{sound}\sim-i \,k^2$, while in the Einstein-Proca model they take the more conventional form $ω_{shear} \sim -i \，k^2 $和$ω_{sound} \ sim k $，比例常数取决于动态指数和适当的温度因素。通过全息二元性，该计算提供了有关假定的双Lifshitz场理论中动量和能量通量算子放松的信息。与直接考虑LIFSHITZ流体动力学获得的分散关系相比，Einstein-Maxwell-Dilaton模型中平衡状态的质量密度是无限的。
We study the scalar and vector channels of gravitational quasinormal modes for Lifshitz black branes emerging in Einstein-Maxwell-Dilaton and Einstein-Proca theories in four and five dimensions, finding significant differences between the two models. In particular, rather surprisingly, in the Einstein-Maxwell-Dilaton model the dispersion relations for the shear and sound modes are given by $ω_{shear} \sim -i\,k^4$ and $ω_{sound}\sim-i \,k^2$, while in the Einstein-Proca model they take the more conventional form $ω_{shear} \sim -i\,k^2$ and $ω_{sound}\sim k$, the proportionality constants depend on the dynamical exponent and the appropriate factors of temperature. Through the holographic duality, this calculation provides information about the relaxation of the momentum and energy flux operators in a putative dual Lifshitz field theory. Comparing with the dispersion relations obtained directly by considering Lifshitz hydrodynamics suggest that the mass density of the equilibrium state in the Einstein-Maxwell-Dilaton model is infinite.
