Radiative Corrections in Curved Spacetime and Physical Implications to the Power Spectrum and Trispectrum for different Inflationary Models - INSPIRE

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Radiative Corrections in Curved Spacetime and Physical Implications to the Power Spectrum and Trispectrum for different Inflationary Models

Simone Dresti
(
- Gottingen U.
)

May 23, 2018

169 pages

Supervisor:

Betreuer: Laura Covi
(
- Gottingen U.
)

Thesis: PhD

Gottingen U.,
Gottingen U.

(defense: May 23, 2018)

Published: Jun 26, 2018

DOI:

10.53846/goediss-6930

URN/HDL:

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Abstract: (Gottingen U.)

In a quantum field theory with a time-dependent background, as in an expanding universe, the time-translational symmetry is broken. We therefore expect loop corrections to cosmological observables to be time-dependent after renormalization for interacting fields. In this thesis we compute and discuss such radiative corrections to the primordial spectrum and higher order spectra in simple inflationary models. We investigate both massless and massive virtual fields, and we disentangle the time dependence caused by the background and by the initial state that is set to the Bunch-Davies vacuum at the beginning of inflation. For the investigated models, we find that the radiative corrections to the primordial spectrum result in oscillatory features that are not present at tree-level. These features are also present in higher order spectra and depend on the initial conditions of the theory. In all the investigated cases the departure from near-scale invariance and from Gaussianity is very small and it is in full agreement with the current Planck constraints. Future cosmic microwave background measurements may improve the current limits on feature-full primordial spectra, giving the hope to observe these effects in the scenario of hybrid inflation.

530
Physik (PPN621336750)
Primordial Power Spectrum
Trispectrum
Inflationary Perturbations
Inflaton Field
Slow-Roll Inflation
Hybrid Inflation
Chaotic Inflation
Non-Linearity Parameter

References(160)

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