Generalization of the dirac equation admitting isospin and color symmetries

Journal Article · Fri Aug 01 04:00:00 EDT 1986 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00669917· OSTI ID:7161291

Keller, J

One possible generalization of the Dirac ''square root'' procedure sigma..mu..sigma..mu.. = D /sup k/ /sub d/ D /sub d/ is presented, based on the explicit introduction of chiral symmetry, which generates a set (d) of symmetry-constrained Dirac fields D /sub d/ /PSI/ /sub d/ = 0 admitting isospin and color. A self-consistent discussion is given of the basic geometrical construction, the field equations, and their relationship to chiral symmetry, isospin, and color, and of the construction of the Lagrangian including the interaction gauge fields. The correspondence of the theory with the standard SU /sub c/ (3) x SU /sub w/ (2) x U /sub y/ (1) formulation for quarks and leptons is shown.

• Research Organization: Univ. Nacional Autonoma de Mexico, Mexico
• OSTI ID: 7161291
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 25:8; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CLIFFORD ALGEBRA
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRONS
ELEMENTARY PARTICLES
ENERGY-MOMENTUM TENSOR
EQUATIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
ISOSPIN
LEPTONS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
NEUTRINOS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SPACE-TIME
SPINORS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
TENSORS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WAVE EQUATIONS
WEINBERG-SALAM GAUGE MODEL