Effective potential for the O(N)-symmetric model in static homogeneous spacetimes

Details Effective potential for the O(N)-symmetric model in static homogeneous spacetimes Effective potential for the O(N)-symmetric model in static homogeneous spacetimes

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.2277a&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 8, 15 October 1986, pp.2277-2282

Physics

13

Spontaneous And Radiative Symmetry Breaking, Origin And Formation Of The Universe

Scientific paper

The effective potential for a scalar theory with O(N) symmetry is calculated in the large-N limit for the Einstein and static hyperbolic universes. For the Einstein universe it is found that spontaneous symmetry breaking via a second-order phase transition cannot occur regardless of the masses or strengths of the couplings of the fields to the scalar curvature. For the static hyperbolic universe spontaneous symmetry breaking can occur and is enhanced if the coupling to the scalar curvature is positive. For both spacetimes the curvature changes the detailed behavior of the effective potential but, with the exception of spontaneous symmetry breaking, its basic properties are the same as in flat space.

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