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arXiv 0807.0954hep-phastro-phgr-qc
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暴胀功率谱和CMB各向异性的短程物理特征

Signature of short distance physics on inflation power spectrum and CMB anisotropy

Suratna Das, Subhendra Mohanty

摘要:

引起暴胀的暴胀子场可能不是正则基本标量。暴胀子可能是费米子的复合物,或者它可能有一个衰变宽度。在这些情况下,用于计算功率谱的标准程序是不适用的,需要开发一种新的形式主义,以确定短距离的暴胀子的相互作用的功率谱和CMB各向异性的影响。我们发展了一个计算这种非正则情况下曲率扰动功率谱的一般形式,在弯曲的拟de Sitter空间中使用平坦空间Källén-Lehmann谱函数,隐含地假设Bunch-Davis边界条件强制暴胀子模函数在短波长极限下是平面波,并且在拟de Sitter空间中存在一组完整的模函数。结果表明,具有衰减宽度的暴胀子在大尺度下抑制了功率,而复合暴胀子的功率谱在大尺度下振荡。这些观测结果可能在WMAP数据中得到证实,并由普朗克未来的观测结果证实。

英文摘要:

The inflaton field responsible for inflation may not be a canonical fundamental scalar. It is possible that the inflaton is a composite of fermions or it may have a decay width. In these cases the standard procedure for calculating the power spectrum is not applicable and a new formalism needs to be developed to determine the effect of short range interactions of the inflaton on the power spectrum and the CMB anisotropy. We develop a general formalism for computing the power spectrum of curvature perturbations for such non-canonical cases by using the flat space Källén-Lehmann spectral function in curved quasi-de Sitter space assuming implicitly that the Bunch-Davis boundary conditions enforces the inflaton mode functions to be plane wave in the short wavelength limit and a complete set of mode functions exists in quasi-de Sitter space. It is observed that the inflaton with a decay width suppresses the power at large scale while a composite inflaton's power spectrum oscillates at large scales. These observations may be vindicated in the WMAP data and confirmed by future observations with PLANCK.

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