Spontaneous symmetry breakdown in an SL(2n, C) x SL(2, C) -invariant gravitational model. [Lagrangian, Higgs field]

Journal Article · Tue Feb 15 04:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.983· OSTI ID:7311966

Dennis, P W; Huang, J C

An SL(2n, C) x SL(2, C) -gauge-invariant gravitational Lagrangian is constructed which describes a multiplet of strongly interacting massless f mesons (2/sup +/) and a weakly interacting massless graviton g. By introducing an explicit Higgs field phi which carries both hadronic and leptonic ''quantum numbers,'' one can introduce an almost unique mixing term for the f-g system. It is found that when the Higgs field Lagrangian exhibits spontaneous breakdown of symmetry in the classical approximation, the f-meson multiplets and the hadronic fermions acquire mass while an orthogonal field describing the graviton remains massless. The spontaneous breakdown of symmetry in this model is accomplished via a manifestly Lorentz-invariant vacuum, and it is effected in a manner which avoids the Goldstone bosons.

• Research Organization: Department of Physics, University of Missouri: Columbia, Columbia, Missouri 65201
• OSTI ID: 7311966
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645303 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BASIC INTERACTIONS
BOSONS
ELEMENTARY PARTICLES
FUNCTIONS
GAUGE INVARIANCE
GRAVITATIONAL INTERACTIONS
GRAVITATIONAL RADIATION
GRAVITONS
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ INVARIANCE
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
MULTIPLETS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
RADIATIONS
SL GROUPS
SPIN
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS