Quaternionic chromodynamics as a theory of composite quarks and leptons

Journal Article · Thu May 15 00:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2903· OSTI ID:5317756

Adler, S L

I make a preliminary study of quaternionic chromodynamics (i.e., U(2) algebraic chromodynamics) as a theory of composite quarks and leptons. In the unphysical symmetric static limit in which the gluon field is massless and the fundamental two-internal-component spinor is infinitely massive, I compute the internal-symmetry structure of the residual interactions of three-spinor composites, using the heuristic quark and lepton identifications proposed by Harari and Shupe. Three types of interactions appear: (i) a color-singlet, flavor-diagonal photon, coupling to the electron, quarks, and neutrino with the correct charge assignments, and a second photon coupling to the neutrino and quarks, but not to the electron; (ii) color-changing, flavor-diagonal gluons, coupling to the quarks in a pattern resembling, but not identical to, SU(3) quantum chromodynamics; (iii) color-changing, flavor-changing gluons, three exchanges of which can produce a weak flavor-changing transition between color-singlet states, without requiring the existence of conventional intermediate bosons. While certain aspects of the symmetric static limit are clearly at variance with standard phenomenology, the results make it plausible that a more realistic calculation, taking symmetry breaking into account, may reproduce the observed features of the usual SU(3)/sub color/ x (SU(2) x U(1))/sub weakhyphenelectromagnetic/ model. I briefly discuss some ideas about symmetry breaking, and describe a mechanism leading to topologically inequivalent quark-lepton generations.

• Research Organization: Institute for Advanced Study, Princeton, New Jersey 08540
• OSTI ID: 5317756
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
COLOR MODEL
COMPOSITE MODELS
ELECTRODYNAMICS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
MULTIPLICITY
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPINORS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WEAK INTERACTIONS