Mathematics – Logic
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phdt.......103l&link_type=abstract
Thesis (PH.D.)--UNIVERSITY OF PENNSYLVANIA, 1987.Source: Dissertation Abstracts International, Volume: 48-08, Section: B, page:
Mathematics
Logic
Scientific paper
The new inflationary universe scenario resolves many of the cosmological problems which plague the standard hot big bang model. Supersymmetry leads naturally to the flat scalar potential required for a successful slow rollover transition, which must provide sufficient inflation and an acceptable density perturbation amplitude delta rho/rho. In addition, (local) supersymmetry plays an important role in particle physics as an effective, low energy theory of gravity. In this thesis, several new aspects of supersymmetric inflation are developed. The effect of quantum corrections on the slow rollover transition in supersymmetric inflationary models is considered for the first time and found to be significant. A model which has been adjusted at tree level to satisfy the slow rollover constraints will suffer quantum corrections which must be tuned away to guarantee a successful slow rollover. On the other hand, it is demonstrated that quantum corrections can create the possibility of a slow rollover transition in a model which, at tree level, is not suitable as an inflationary model. A new supersymmetric inflationary model is presented and shown to possess the following features: a successful slow rollover produced by quantum corrections; an acceptable pattern of supersymmetry breaking leading to the correct value of the electroweak scale; and a stable slow rollover transition to a minimum with vanishing cosmological constant. It is demonstrated that there is a class of GUT models which are compatible with an inflationary universe scenario in which: (a) the GUT and inflationary phase transitions are distinct (as in supersymmetric inflation); and (b) an observable number of GUT monopoles are created thermally due to reheating of the GUT sector after inflation. This provides one of the few ways for reconciling an observation of GUT monopoles with inflation. New techniques are developed for constructing inflationary models with multiple inflation fields, such as generalizing the one-dimensional slow rollover constraints and estimating the contribution to delta rho/rho from fluctuations transverse to the path of the slow rollover. A new method for ending the slow rollover portion of the inflationary transition is developed.
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