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18 January 2022
 
  » arxiv » 1305.4223

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The $a$-theorem and temperature of the CMB temperature in cosmology
A.O.Barvinsky ;
Date 18 May 2013
AbstractInitial conditions in cosmology in the form of the microcanonical density matrix of the Universe predict a thermal nature of the primordial CMB power spectrum with a nonzero temperature of the resulting relict temperature distribution. This effect generates a thermal contribution to the red tilt of this spectrum, additional to its vacuum component. In the cosmological model with a large number of free fields conformally coupled to gravity the magnitude of this effect is determined by the Gauss-Bonnet coefficient $mbox{oldmath$a$}$ of the trace anomaly. For low spins it is too small to be presently observable, but it can be amplified by the mechanism of the $mbox{oldmath$a$}$-theorem applied to the renormalization group flow which interpolates between the ultraviolet and infrared domains associated respectively with early and late stages of cosmological evolution.
Source arXiv, 1305.4223
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