Inflationary perturbation theory is geometrical optics in phase space
Inflationary perturbation theory is geometrical optics in phase space
复制标题
暴胀摄动理论是相空间中的几何光学
DOI：
--
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Raquel H. Ribeiro
中科院分区：
文献类型：
--
作者：
D. Seery;D. Mulryne;J. Frazer;Raquel H. Ribeiro
将通货膨胀模型与观测进行比较的一个紧迫问题是相关函数的准确计算。一种方法是使用常微分方程（“传输方程”）来演化它们，类似于输入输出量子场论的施温格-戴森层次结构。我们将这种方法扩展到整套动量空间相关函数。可以使用源自几何光学的光线追踪技术获得正式的解决方案。我们用这种语言重新表述了暴涨摄动理论，并表明光线追踪再现了熟悉的“δN”泰勒展开式。我们的方法产生常微分方程，可以有效地计算泰勒系数。我们使用光线追踪方法以几何术语表达场涨落和曲率扰动 之间的规范变换。利用这些结果，我们根据场空间中均匀能量密度超曲面的主曲率给出了 fNL 非线性规范变换部分的紧凑表达式。
A pressing problem in comparing inflationary models with observation is the accurate calculation of correlation functions. One approach is to evolve them using ordinary differential equations ("transport equations"), analogous to the Schwinger-Dyson hierarchy of in-out quantum field theory. We extend this approach to the complete set of momentum space correlation functions. A formal solution can be obtained using raytracing techniques adapted from geometrical optics. We reformulate inflationary perturbation theory in this language, and show that raytracing reproduces the familiar "δN" Taylor expansion. Our method produces ordinary differential equations which allow the Taylor coefficients to be computed efficiently. We use raytracing methods to express the gauge transformation between field fluctuations and the curvature perturbation, ζ, in geometrical terms. Using these results we give a compact expression for the nonlinear gauge-transform part of fNL in terms of the principal curvatures of uniform energy-density hypersurfaces in field space.
影响因子：
8.7
作者：
Komatsu, E.;Smith, K. M.;Wright, E. L.
通讯作者：
Wright, E. L.