Physics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.1551b&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 4, 15 August 1992, pp.1551-1559
Physics
24
Theory Of Quantized Fields, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
The one-loop effective potential for a massive, quartically self-interacting scalar field nonminimally coupled to gravity is calculated in a Bianchi type-I universe with a small anisotropy. The kernel of a Schrödinger-like equation is found, and its coincidence limit used to obtain the determinant of the Klein-Gordon operator. The effects of the anisotropy on symmetry breaking and the viability of new inflation are considered, with the value of the coupling to gravity ξ found to play a crucial role. Classically, a positive ξ restores symmetry and helps inflation, while the opposite effects are found for negative coupling. Quantum effects depend on the value of ξ relative to the conformal value 1/6. For small coupling, the quantum term may dominate, which tends to restore symmetry and aid inflation. A comparison to previous work is made, and differences discussed.
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