Symmetry behavior in the Einstein universe: Gaussian approximation in the Schrödinger picture

Details Symmetry behavior in the Einstein universe: Gaussian approximation in the Schrödinger picture Symmetry behavior in the Einstein universe: Gaussian approximation in the Schrödinger picture

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.1853k&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 6, 15 September 1988, pp.1853-1858

Physics

11

Lagrangian And Hamiltonian Approach, Spontaneous And Radiative Symmetry Breaking

Scientific paper

The effective potential for a scalar theory in the static Einstein universe is calculated using the Gaussian approximation in a field-theoretic Schrödinger picture. There occurs an infrared divergence in the slope of the effective potential at the would-be symmetry-breaking minimum and the effective potential is complex in a region including this would-be minimum. Spontaneous symmetry breaking, therefore, cannot occur in the static Einstein universe.

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