论文标题

在有限温度和密度下的骨气和费尔米尼全息波动和耗散

Bosonic and Fermionic Holographic Fluctuation and Dissipation at finite temperature and density

论文作者

Caldeira, Nathan G., Zarro, Carlos A. D., Boschi-Filho, Henrique

论文摘要

在本文中,我们研究了在零和有限密度的全息图中波动和耗散的一些一般方面。我们用代表黑褐色的对角线公制中的探针字符串对这种情况进行建模。绳子从黑色的蓝色延伸到探针桥,从而模拟了随机驱动的粒子。在这种情况下,我们计算出玻色子和费米子的接收率,扩散系数,相关函数和正则均方根位移,全部来自度量分量。我们使用波动散至定理检查这些计算。此外,我们表明,在有限温度和密度下,短时间的均方根位移可用于玻色子和费米子的通常二次(弹道)行为。在很大程度上,我们发现在各种情况下,超速扩散过程,除了零化学势的玻色子。我们将这种一般分析应用于两个不同的模型:在有限温度下进行超标度违规,以及带电的延伸广告黑洞,包括玻色子和费米子。这很重要,因为我们发现在系统中的费米子扩散允许移植表面和费米液体的出现。

In this paper we investigate some general aspects of fluctuation and dissipation in the holographic scenario at zero and finite density. We model this situation with a probe string in a diagonal metric representing a black brane. The string stretches from the black brane to a probe brane thus simulating a stochastic driven particle. In this scenario, we compute the admittance, the diffusion coefficient, the correlation functions and the regularized mean square displacement, for bosons and fermions, all from the metric components. We check these calculations with the fluctuation-dissipation theorem. Further, we show that at finite temperature and density, the mean square displacement in the limit of short times reproduces the usual quadratic (ballistic) behavior, for bosons and fermions. For large times, we find ultraslow diffusive processes in various cases, except for bosons at zero chemical potential. We apply this general analysis in two different models: hyperscaling violation at finite temperature and a charged dilatonic AdS black hole, both for bosons and fermions. This is important because we found the fermionic diffusion in systems which allow the appearance of Fermi surfaces and Fermi liquids.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源