论文标题
非相关黑麸皮的全息耗散特性，违规
Holographic Dissipative Properties of Non-relativistic Black Branes with Hyperscaling Violation
论文作者
论文摘要
在这项工作中，我们考虑了一类超尺度违反LIFSHITZ的黑色麸皮，具有公制缩放组件$ z = 2 $和$θ= -1 $，其相应的全息模型可以视为一种非占主导地位的流体，表现为Lifshitz-type型对称性。通过Klein-gordon方程进行了分析计算和线性响应理论，发现相关模型的实验实现，即传输系数，以$η\ propto t^{3/2} $，$ f propto t^{3/2} $，$σ_{dc} {dc} {dc} \ propto t^{3/2/2} $，和$ proptat t^{ - 3/2} $。来自批量理论的相关度量缩放指数是在全息双重模型获得的传输系数中加密的。我们认为，我们的分析结果可以促进对在高温超导体，假设的磁性和液晶等系统中强烈耦合现象的充分理解。
In this work, we consider a class of hyperscaling violating Lifshitz-like black branes with metric scaling components $z=2$ and $θ=-1$ whose corresponding holographic model can be treated as a non-relativistic fluid exhibiting Lifshitz-type symmetry. Having performed analytical calculations via the Klein-Gordon equation and the linear response theory, the experimental realizations of the concerned model, namely the transport coefficients, are found to behave as $η\propto T^{3/2}$, $σ_{DC} \propto T^{3/2}$, and $ρ_{DC} \propto T^{-3/2}$. The associated metric scaling exponents from the bulk theory are encrypted in the transport coefficients obtained for the holographic dual model. We believe that our analytical results can contribute to the endeavours in accomplishing a full understanding on the strongly coupled phenomena occurring in systems such as high temperature superconductors, the hypothetical magnetic monopoles, and liquid crystals.
