通过动力学理论对相关函数分析结构的新见解

Robbe Brants
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引用次数: 0

摘要

相对论系统接近流体动力学行为的方式,可以通过有助于其对扰动的线性响应的信号从物理上加以理解。迟滞相关函数的解析结构捕捉到了这些信号。非解析性可根据其在复频平面上的维度分为三类。在本文中,我们将利用动力学理论来研究如何计算它们的相应信号。在具有连续热化率的粒子系统的最一般情况下,我们发现会出现一个非解析区域。为了计算其信号,我们引入了描述该区域特性的非解析区域密度,并构建了一种计算方法。此外,考虑到信号分析中存在的模糊性,在对非分析性进行处理之后,我们将在有趣的分析特性中确定两种特定的选择,即图片,并比较每种图片在哪些情况下最有用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New insights into the analytic structure of correlation functions via kinetic theory
The way a relativistic system approaches fluid dynamical behaviour can be understood physically through the signals that will contribute to its linear response to perturbations. What these signals are is captured in the analytic structure of the retarded correlation function. The non-analyticities can be grouped into three types based on their dimension in the complex frequency plane. In this paper, we will use kinetic theory to find how we can calculate their corresponding signals. In the most general case of a system with particles that have a continuum of thermalization rates, we find that a non-analytic region appears. To calculate its signal, we introduce the non-analytic area density that describes the properties of this region, and we construct a method to calculate it. Further, to take into account the ambiguity present in signal analysis, following from manipulations of the non-analyticities, we will identify two specific choices called pictures with interesting analytic properties and compare in what scenarios each picture is most useful.
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