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轴子暴胀中强反作用 regime 的 onset:一项分析研究

The onset of the strong backreaction regime in axion inflation, an analytical study

Aditya Kulkarni, Lorenzo Sorbo

arXiv 2608.29244首次发表:更新:

发表机构

University of Massachusetts, Amherst(马萨诸塞大学阿默斯特分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过分析研究,首次给出轴子暴胀中强反作用 regime onset 的分析公式,证实了强反作用稳定区域的存在,可研究系统在弱、强反作用 regime 间过渡的演化。

AI 中文摘要

轴子类暴胀子与 U(1) 规范场耦合的模型具有良好的理论动机,且能展现出丰富的现象学。规范场量子对滚动暴胀子产生强反作用的 regime 已被研究了十多年,但尚未完全明晰。本文对强反作用 regime 的 onset 开展分析研究,所采用的形式体系基于拉普拉斯变换,将复杂的积分微分方程转化为解析函数极点的搜索。我们证实了此前用完全不同形式体系观测到的强反作用稳定区域的存在,还首次提供了分析公式,可用于研究系统从弱反作用 regime 向强反作用 regime 过渡时的演化。

英文摘要

Models where an axion-like inflaton is coupled to a $U(1)$ gauge field are theoretically well motivated and can display a rich phenomenology. The regime in which the quanta of the gauge field strongly backreact on the rolling inflaton has been studied for well more than a decade, and yet we cannot say that it is fully understood. In this paper we present an analytical study of the onset of the strong backreaction regime. Our formalism relies on a Laplace transform to convert a complicated integro-differential equation into the search of the poles of an analytic function. We confirm the existence, previously observed using a completely different formalism, of a stable region of strong backreaction. Our work provides, for the first time, analytical formulae that allow to study the evolution of the system as it transitions from the weak to the strong backreaction regime.

Comments20 pages, 3 figures

论文原文

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