http://arxiv.org/abs/1402.6968
In this paper, we calculate corrections of scalar perturbations spectra resulting from non-Bunch-Davies modes as the general initial states. First, by considering the asymptotic expansion of the Hankel functions up to the higher order of 1/k.eta, we modify Mukhanov equation and obtain general solutions of it. We nominate this non-trivial excited solution as the fundamental vacuum mode functions during inflation. Then, we calculate power spectrum with this alternative vacuum mode and we obtain modified form of scale-dependent power spectrum with trans-Planckian corrections. Also, unlike the conventional methods, we consider de Sitter space-time instead Minkowski space-time as a background. The method used for renormalization preserves the space-time symmetry, and gives the finite power spectrum and this motivates us to use of excited de Sitter modes. Finally, by considering recent Planck and WMAP results, we give an observational motivation for our non-Bunch-Davies vacuum modes.
E. Yusofi and M. Mohsenzadeh
Fri, 28 Feb 14
49/54