Tunnelling Without Barriers

Details Tunnelling Without Barriers Tunnelling Without Barriers

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phdt........73l&link_type=abstract

Thesis (PH.D.)--COLUMBIA UNIVERSITY, 1987.Source: Dissertation Abstracts International, Volume: 48-01, Section: B, page: 0166.

Statistics

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Cosmology

Scientific paper

The evolution in flat and curved space-time of quantum fields in theories with relatively flat potential and its consequences are considered. It is shown that bubble nucleation, a quantum mechanical tunnelling process, may occur in flat space-time, having a bounce solution, even if V((phi)) has no barrier. It is shown that bubble nucleation can also occur in curved space-time even though there is no bounce solution in the standard formalism for the bubble nucleation rate in curved space-time. Additionally, bubbles can nucleate during the slow rolling period on the potential in flat and curved space-time, in this case also there is no bounce solution. It is known in the new inflationary scenario that energy density perturbations caused by quantum fluctuations of the scalar field can satisfy the presently observed bounds on density perturbations. Bubble nucleation during the slow rolling period also gives rise to density perturbations. For a model potential density perturbations by bubbles are calculated at the horizon reentering. By applying the bound from the almost isotropic microwave black body radiation on these density perturbations, a constraint on the model potential is obtained. Finally, some further implications on the galaxy formation and applications in more realistic potential are discussed.

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