Pseudo-Goldstone bosons in curved space-time

Journal Article · Tue Jul 15 04:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.34.627· OSTI ID:5522841

Hosotani, Y; Nikolic-acute-accent, M; Rudaz, S

We calculate the effective potential for pseudo-Goldstone bosons (PGB's) in a toy SU(3) gauge theory broken by scalars in the adjoint representation, in the Einstein static universe R-italic/sup 1/ x S/sup 3/ with constant scalar curvature R-italic. In both the strong- and weak-gravitational-field limits, the effective potential for the PGB's picks up curvature-dependent quadratic terms in one-loop order. Curiously, in the weak-field limit, the gravitational contribution to the PGB mass is of the form R-italic lnR-italic, while in the opposite case (strong field) the expected form linear in R-italic is recovered. A subtlety involved in determining the coupling of Goldstone bosons to the scalar curvature in theories with spontaneous symmetry breaking is described.

• Research Organization: School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455
• OSTI ID: 5522841
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
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645400 -- High Energy Physics-- Field Theory
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
FORM FACTORS
FUNCTIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATRIX ELEMENTS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
SPACE-TIME
SU GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
TENSORS
UNIVERSE