Physics
Scientific paper
Oct 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..50.5252r&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 50, Issue 8, 15 October 1994, pp.5252-5261
Physics
10
Lagrangian And Hamiltonian Approach, Spontaneous And Radiative Symmetry Breaking, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
The functional Schrödinger approach is used to study scalar field theory in hyperbolic (or open) de Sitter spacetime. While on intermediate length scales (small compared to the spatial curvature length scale) the massless minimally coupled scalar field two-point correlation function does have a term that varies logarithmically with scale, as in flat and closed de Sitter spacetime, the spatial curvature tames the infrared behavior of this correlation function at larger scales in the open model. As a result, and contrary to what happens in flat and closed de Sitter spacetime, spontaneously broken continuous symmetries are not restored in open de Sitter spacetime (with more than one spatial dimension).
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