The impact of renormalization on the observable predictions of inflation

Details The impact of renormalization on the observable predictions of inflation The impact of renormalization on the observable predictions of inflation

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jphcs.259a2026n&link_type=abstract

Journal of Physics: Conference Series, Volume 259, Issue 1, pp. 012026 (2010).

Physics

Scientific paper

We analyze the generation of primordial perturbations in a (single-field) slow-roll inflationary universe. In momentum space, these (Gaussian) perturbations are characterized by a zero mean and a non-zero variance Δ2(k,t). However, in position space the variance diverges in the ultraviolet. The requirement of a finite variance in position space forces one to regularize Δ2(k,t). This can be achieved by proper renormalization in an expanding universe in a unique way. This affects the predicted scalar and tensorial power spectra (evaluated when the modes acquire classical properties) for wavelengths that today are at observable scales. As a consequence, the imprint of slow-roll inflation on the CMB anisotropies is significantly altered.

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