Symmetry behavior in the Einstein universe: Gaussian approximation in the Schrödinger picture
- 15 September 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 38 (6) , 1853-1858
- https://doi.org/10.1103/physrevd.38.1853
Abstract
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.Keywords
This publication has 17 references indexed in Scilit:
- Effective potential for the O(N)-symmetric model in static homogeneous spacetimesPhysical Review D, 1986
- Symmetry behavior of the static Taub universe: Effect of curvature anisotropyPhysical Review D, 1985
- Symmetry behavior in the Einstein universe: Effect of spacetime curvature and arbitrary field couplingPhysics Letters B, 1983
- Symmetry breaking and restoration in Einstein universeIl Nuovo Cimento A (1971-1996), 1981
- Topological symmetry restorationPhysical Review D, 1981
- Instabilities in interacting quantum field theories in non-Minkowskian spacetimesPhysical Review D, 1980
- Renormalization of trial wave functionals using the effective potentialPhysical Review D, 1980
- Symmetry breaking and mass generation by space-time topologyPhysical Review D, 1980
- Time-dependent variational principle and the effective actionPhysics Letters A, 1979
- Spontaneous symmetry breaking in themodel for largePhysical Review D, 1974