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arXiv 2209.00699hep-thcond-mat.otherhep-ph
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有限温度与密度下的玻色子与费米子全息涨落和耗散

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

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

AI总结:

本文在全息场景下利用探测弦模型,从度规分量计算了玻色子和费米子的导纳、扩散系数等物理量,并在有限温度和密度下发现了超慢扩散及费米液体系统中的费米子扩散现象。

摘要:

本文研究了零密度和有限密度下全息场景中涨落和耗散的一般性质。我们用一个位于代表黑膜的对角度规中的探测弦来模拟这一情况。该弦从黑膜延伸到探测膜,从而模拟一个随机驱动的粒子。在此场景中,我们仅从度规分量计算了玻色子和费米子的导纳、扩散系数、关联函数和正则化的均方位移。我们用涨落-耗散定理检验了这些计算。此外,我们发现在有限温度和密度下,玻色子和费米子在短时间极限下的均方位移重现了通常的二次(弹道)行为。对于长时间,我们在多种情况下发现了超慢扩散过程,但零化学势下的玻色子除外。我们将这一一般性分析应用于两个不同的模型:有限温度下的超标度违反模型和带电的伸缩子AdS黑洞模型,均涵盖了玻色子和费米子。这很重要,因为我们在允许出现费米面和费米液体的系统中发现了费米子扩散。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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