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张量催化的原初标量涨落退相干

Tensor Catalyzed Decoherence of Primordial Scalar Fluctuations

C. P. Burgess, D. Dineen, R. Holman, Greg Kaplanek

arXiv 2607.22914首次发表:更新:

AI 中文总结

研究在单时钟暴胀模型中,计算原初标量涨落退相干主要贡献,纳入多种相互作用贡献,结果非慢滚抑制,验证紫外有限,证实相关相互作用特性及可用于计算纯度演化,解释对涨落幅度预测无影响。

AI 中文摘要

我们在最简单的单时钟暴胀模型中,首次完整计算了度规涨落标量部分原初涨落退相干的主要贡献,假设退相干源于与由其他未测量的短波长标量和张量模式组成的环境的引力相互作用。我们纳入了在$(H/M_p)^2$和慢滚参数$\epsilon_1$幂次的主导阶上所有贡献相互作用的贡献。与文献中所有现有计算不同,我们得到的结果不是慢滚抑制的(与张量模式退相干具有相同量级)。差异源于主导退相干来自同时涉及张量和标量环境的相互作用。我们验证了退相干的主要贡献是紫外有限的。我们证实驱动退相干的相互作用在深超视界暴胀区域变为时间局部和高斯的,并展示了如何用于可靠计算与观测相关的后期纯度演化。相同推导明确说明了破坏退相干微扰理论的效应为何不会破坏原初涨落幅度的基本暴胀预测。

英文摘要

We provide the first complete calculation of the leading contribution to the decoherence of primordial fluctuations in the scalar part of the metric fluctuations within simplest, single-clock, inflationary models, assuming decoherence comes from gravitational interactions with an environment made up of the other, unmeasured, short-wavelength scalar and tensor modes. We include the contributions from {\it all} of the contributing interactions at leading order in powers of $(H/M_p)^2$ and of the slow-roll parameter $ε_1$. Unlike all extant calculations in the literature we find a result that is {\it not} slow-roll suppressed (and so is the same order of magnitude as tensor-mode decoherence). The difference arises because the dominant decoherence comes from interactions that involve {\it both} the tensor and scalar environments simultaneously (and so are missed when they are examined separately). We verify that the leading contributions to decoherence are UV finite (as they must be). We confirm that the interactions driving decoherence become time-local and Gaussian in the deep super-Hubble inflationary regime and show how this can be used to reliably compute the evolution of the purity in the late-time regime relevant for observations (where naive perturbation theory is known to break down). The same derivation shows explicitly why the effects that undermine perturbation theory for decoherence do not also undermine the basic inflationary prediction for the amplitude of primordial fluctuations (in agreement with general arguments).2

Comments21 pages + appendices, 2 figures

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