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

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

2008-07-07

arxiv.org/abs/0807.0954v3

JCAP 0909:009,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 4 figures, Extended journal version, Accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2009/09/009

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 K\"all\'en-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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