Global structure of the standard model, anomalies, and charge quantization

Journal Article · Mon Apr 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.2709· OSTI ID:5621340

Hucks, J ^[1]

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1. Physics Department, University of California, Santa Barbara, California 93106 (US)

Lie groups with the same Lie algebra as the standard model but different global topology are considered, and the possibilities are reduced to four viable alternatives for the true symmetry group of the standard model: SU(3){times}SU(2){times}U(1), U(3){times}SU(2), SU(3){times}U(2), and S(U(3){times}U(2)). It is demonstrated that the last three groups require hypercharge quantization for their allowable representations, and that S(U(3){times}U(2)) is the most likely candidate for the true symmetry group of the standard model because it offers the best explanation of the observed hypercharges of the elementary fermions. Explicit S(U(3){times}U(2)) tensor representations of the quarks and leptons are given and are compared to the standard SU(5) assignments. The spontaneous symmetry breaking of S(U(3){times}U(2)) to an electrostrong U(3) is briefly discussed, and electric charge quantization follows from weak hypercharge quantization and the existence of the standard Higgs doublet with nonzero vacuum expectation value. Lastly, it is shown that combining the conditions imposed by anomaly cancellation with the S(U(3){times}U(2)) hypercharge quantization condition uniquely determines the ratios of the hypercharges in a standard quark-lepton family.

• OSTI ID: 5621340
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DYNAMICAL GROUPS
HYPERCHARGE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
STANDARD MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
U-2 GROUPS
U-3 GROUPS
UNIFIED GAUGE MODELS