Effective potential for the O(N)-symmetric model in static homogeneous spacetimes
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.
- Research Organization:
- University of Florida, Physics Department, 215 Williamson Hall, Gainesville, Florida 32611
- OSTI ID:
- 5147103
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:8; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRECTIONS
COSMOLOGY
DYNAMICAL GROUPS
EFFECTIVE RANGE THEORY
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
INFRARED DIVERGENCES
LAGRANGIAN FUNCTION
LIE GROUPS
METRICS
O GROUPS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
SCALAR FIELDS
SPACE-TIME
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIVERSE