超越德西特：暴胀期间带非最小曲率耦合的大质量矢量场的纵模不稳定性与谱演化

中文摘要 AI 辅助

我们研究了德西特（dS）和准德西特（qdS）背景下，带非最小曲率耦合的旁观大质量矢量场的暴胀动力学，重点关注横向和纵向扇区。通过求解具有Bunch-Davies初始条件的模式方程，我们计算了谱能密度，并量化了精确dS近似与慢滚修正qdS演化之间的偏差。我们发现耦合参数ξ显著影响有效质量的演化、质量穿越条件以及纵模的行为，特别是增大ξ会抑制矢量涨落并减少瞬态快子效应。我们进一步追踪模式进入辐射主导时代的演化，展示了暴胀初始条件如何决定后续的谱能密度。我们的结果确定了dS近似能提供精确描述的参数范围，并明确了慢滚修正何时变得相关。

英文摘要

We investigate the inflationary dynamics of a spectator massive vector field with a non-minimal curvature coupling in de Sitter (dS) and quasi-de Sitter (qdS) backgrounds, focusing on the transverse and longitudinal sectors. By solving the mode equations with Bunch-Davies initial conditions, we compute the spectral energy densities and quantify the deviations between the exact dS approximation and the slow-roll-corrected qdS evolution. We find that the coupling parameter xi significantly affects the evolution of the effective mass, the mass-crossing condition, and the behavior of the longitudinal mode. In particular, increasing xi suppresses the vector fluctuations and reduces transient tachyonic effects. We further follow the evolution of the modes into the radiation-dominated era, showing how the inflationary initial conditions determine the subsequent spectral energy densities. Our results identify the parameter regime in which the dS approximation provides an accurate description and determine when slow-roll corrections become relevant.

发表机构

• Galilei Department of Physics, University of Padova（帕多瓦大学伽利略物理系）
• Department of Physics, University of Tehran（德黑兰大学物理系）

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