Three-preon models of quarks and leptons and the generation problem

Journal Article · Tue Feb 01 04:00:00 EST 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.27.616· OSTI ID:6237314

Tosa, Y; Marshak, R E

We have carried out a search for three-fermion preon models that predict at least three generations of quarks and leptons. The conditions imposed are the following: (1) The preons are (massless) Weyl spinors and belong to low-dimensional chiral representations of the gauged symmetry group G(MC) x G(CF), where MC stands for metacolor and CF for color-flavor. (2) G(MC) is an asymptotically free simple group while G(CF) is a grand-unification-theory (GUT) or partial-unification-theory (PUT) group. (3) The Pauli principle holds when generalized to the MC degree of freedom. (4) No anomalies exist in the MC and CF sectors. (5) The composite quarks and leptons are massless on the MC scale. (6) There are no low-representation exotics and no mirror fermions. The only GUT preon models satisfying these six conditions are SU(3)(MC) x SO(10)(CF) with four generations and Fsub4(MC) x SO(10)(CF) with three generations; however, asymptotic freedom is marginal for the two GUT models. The only permissible PUT preon model is Esub6(MC) x SU(4)subC x SU(2)subL x SU(2)subR with three generations, and satisfactory asymptotic behavior. The PUT preon model is therefore the most promising and further implications are discussed.

• Research Organization: Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
• OSTI ID: 6237314
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 27:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

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645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COLOR MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FLAVOR MODEL
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SPINORS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
UNIFIED GAUGE MODELS