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均匀各向同性线性化引力作为Caldeira--Leggett系统

Homogeneous and Isotropic Linearized Gravity as a Caldeira--Leggett System

Pelayo V. Calzada, Pedro Bargueño

arXiv 2607.28209首次发表:更新:

发表机构

Universidad de Alicante(阿利坎特大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究将均匀各向同性线性化引力等价为Caldeira--Leggett开放系统模型,通过消除环境得到度规微扰的广义朗之万方程,利用该等价性实现微扰约化量子化,并用拉普拉斯方法分析动力学以扩展相关开放系统结果。

AI 中文摘要

我们建立了具有最小耦合自由度的均匀各向同性线性化引力与开放系统的Caldeira--Leggett模型之间的等价性。这将引力与已确立的系统-环境形式体系联系起来,我们在整个研究中都使用该形式体系。消除环境后,线性化引力的方程可简化为度规微扰的广义朗之万方程,环境影响浓缩在谱密度中。该等价性还为微扰的约化量子化和随机引力动力学提供了自然框架,我们用拉普拉斯方法分析所得动力学,扩展了其他开放系统设定中的结果。

英文摘要

We show that the homogeneous and isotropic sector of linearized gravity coupled to arbitrary additional degrees of freedom takes the Caldeira-Leggett form, provided their action contains no metric time derivatives at second order in perturbations. These additional degrees of freedom constitute the model's harmonic reservoir. Eliminating them yields a generalized Langevin equation for the metric perturbation, with their influence condensed in the reservoir's spectral density. This equivalence also yields a natural setting for reduced quantization of the perturbation and stochastic gravitational dynamics. We analyze the resulting dynamics with Laplace methods, extending results presented in other open-system settings.

Comments15 pages, 1 figure; Supplemental Material included in the same PDF

论文原文

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