Mathematics – Logic
Scientific paper
Apr 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983nciml..36..614w&link_type=abstract
Nuovo Cimento, Lettere, Serie 2, vol. 36, April 30, 1983, p. 614-618.
Mathematics
Logic
Broken Symmetry, Cosmology, Gravitational Effects, Temperature Effects, Universe, Astronomical Models, Constants, Curvature, Relativity, Topology
Scientific paper
The effects of temperature and the gravitational field on the coupling constant in an open static Einstein universe is discussed in the framework of a static cosmological model with negative curvature. The topological structure and the metric in Friedmann coordinates are defined. A Ricci scalar is formulated for a self-interacting scalar field conformally coupled with the background and its associated Lagrangian is considered in order to express the classical potential. The levels of curvature which induce spontaneous symmetry breaking are considered. A one-loop correction to the effective potential is described, together with a renormalization point at the minimum of the effective potential. Further discussion demonstrates the temperature and curvature dependence of the quartic renormalized coupling constant and its behavior in symmetric and broken symmetric phases is quantified.
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