Quaternion gauge fields. Pseudocolor
A simplified Guenaydin-Guersey model, in which a Majorana field constructed using quaternions combines a lepton and a color quark, is considered. Formulation of the gauge principle directly in the quaternions leads to the appearance of two vector quaternion gauge fields, these corresponding to the decomposition SO(4) approx. SO(3) x SO(3) of the invariance group. The diagonal subgroup SO(3) of automorphisms of the quarternions appears as a pseudocolor symmetry of the quarks, and the gauge field corresponding to it as the field of three color gluons. The other gauge field corresponds to lepton-quark transitions and in the presence of spontaneous breaking of the SO(4) gauge symmetry by the scalar quaternion field acquires a (large) finite mass.
- Research Organization:
- Joint Institute for Nuclear Research, Dubna, USSR
- OSTI ID:
- 5828525
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 68:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COLOR MODEL
COMMUTATION RELATIONS
COMPOSITE MODELS
DIRAC OPERATORS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LEPTONS
LIE GROUPS
MAJORANA THEORY
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKS
SCALAR FIELDS
SO GROUPS
SO-3 GROUPS
SO-4 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
VECTOR FIELDS