AI 中文总结
研究膨胀宇宙中大量算符的随时间变化的热单点函数，采用Randall-Sundrum II膜世界模型结合p膜气体，运用测地线公式计算，通过以色列交界条件得膜位置，分析了不同物质主导宇宙中热单点函数的早晚行为。
AI 中文摘要
在本文中，我们计算了膨胀宇宙中大量算符的随时间变化的热单点函数。我们采用Randall-Sundrum II膜世界模型并结合体中的p膜气体，以表示膜上各种物质主导的宇宙学情景。应用Grinberg和Maldacena在文献[Grinberg:2020fdj]中引入的测地线公式，我们计算了宇宙中大量算符的热单点函数。不同物质主导宇宙（单组分和多组分）的随时间变化的单点函数由膜的演化径向位置导出。膜的随时间变化的位置通过第二个以色列交界条件获得。此外，我们还分析了各种物质主导宇宙中热单点函数的早期和晚期行为。
英文摘要
In this article, we have calculated the time-dependent thermal one-point function of massive operators within an expanding universe. We employ the Randall-Sundrum II braneworld model combined with a $p$-brane gas in the bulk, enabling us to represent various matter-dominated cosmological scenarios localised on the brane. Applying the geodesic formula introduced by Grinberg and Maldacena in \cite{Grinberg:2020fdj}, we have calculated the thermal one-point functions of massive operators within the universe. The time-dependent one-point functions for different matter-dominated universes, both single-component and multi-component, are derived from the brane's evolving radial position. The time-dependent positions of the branes have been obtained using the second Israel junction condition. Additionally, we have analyzed the early and late-time behaviors of the thermal one-point function across various matter-dominated universes.
Comments34 Pages Latex, 8 Figures, Comments are welcome
