地平线交叉附近曲率扰动行为的量化
Quantifying the behaviour of curvature perturbations near Horizon Crossing
摘要:
曲率扰动在离开视界后会改变多少?我们应该在什么时候计算功率谱?为了回答这些问题,我们数值研究了单场暴胀模型,并比较了从视界穿越到暴胀结束的不同曲率扰动的演化。我们发现,例如在混沌暴胀中,假设暴胀结束时的振幅相同,在视界交叉处,均匀密度超曲面上的曲率扰动和共动的振幅相差达180%,而曲率扰动要在暴胀结束时的值的1%之内需要大约3倍的时间.
英文摘要:
How much does the curvature perturbation change after it leaves the horizon, and when should one evaluate the power spectrum? To answer these questions we study single field inflation models numerically, and compare the evolution of different curvature perturbations from horizon crossing to the end of inflation. We find that e.g. in chaotic inflation, the amplitude of the comoving and the curvature perturbation on uniform density hypersurfaces differ by up to 180 \% at horizon crossing assuming the same amplitude at the end of inflation, and that it takes approximately 3 efolds for the curvature perturbation to be within 1 \% of its value at the end of inflation.
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