两点关联函数再论:暴胀多场模型中的快尺度和慢尺度
Two-point correlators revisited: Fast and slow scales in multifield models of inflation
摘要:
为了提高现有计算原初谱方法的精度和效率,我们研究了暴胀场涨落的两点关联函数的结构。我们提出了一个描述动机的快速和缓慢的演变的频谱的成分,这是基于Cholesky分解的字段相关矩阵的分离。我们的目的是用缓慢变化的量改写所有相关的运动方程。这对于考虑高频模式对频谱的贡献而不影响计算性能很重要。对于每个特定的暴胀模型,不需要慢滚近似来再现功率谱中的主要区别特征。
英文摘要:
We study the structure of two-point correlators of the inflationary field fluctuations in order to improve the accuracy and efficiency of the existing methods to calculate primordial spectra. We present a description motivated by the separation of the fast and slow evolving components of the spectrum which is based on Cholesky decomposition of the field correlator matrix. Our purpose is to rewrite all the relevant equations of motion in terms of slowly varying quantities. This is important in order to consider the contribution from high-frequency modes to the spectrum without affecting computational performance. The slow-roll approximation is not required to reproduce the main distinctive features in the power spectrum for each specific model of inflation.
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