Complex scalar field in quantum cosmology: from instanton to inflation.

Details Complex scalar field in quantum cosmology: from instanton to inflation. Complex scalar field in quantum cosmology: from instanton to inflation.

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999acppb..30.3009k&link_type=abstract

Acta Phys. Pol., B, Vol. 30, No. 10, p. 3009 - 3027

Mathematics

Logic

Cosmological Models, Cosmology: Inflationary Universe, Cosmology: Quantum Effects

Scientific paper

The author investigates the cosmological model with the complex scalar self-interacting inflaton field non-minimally coupled to gravity. The different geometries of the Euclidean classically forbidden regions are represented. The instanton solutions of the corresponding Euclidean equations of motion are found by numerical calculations supplemented by the qualitative analysis of Lorentzian and Euclidean trajectories. The applications of these solutions to the no-boundary and tunneling proposals for the wave function of the universe are studied. Possible interpretation of obtained results and their connection with inflationary cosmology is discussed.

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