Semidirect product gauge group [SU(3){sub c}xSU(2){sub L}]xU(1){sub Y} and quantization of hypercharge

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.015009· OSTI ID:21503897

Hattori, Chuichiro ^[1]; Matsunaga, Mamoru; Matsuoka, Takeo ^[2]

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1. Science Division, General Education, Aichi Institute of Technology, Toyota 470-0392 (Japan)
2. Department of Physics Engineering, Mie University, Tsu 514-8507 (Japan)

In the standard model the hypercharges of quarks and leptons are not determined by the gauge group SU(3){sub c}xSU(2){sub L}xU(1){sub Y} alone. We show that, if we choose the semidirect product group [SU(3){sub c}xSU(2){sub L}]xU(1){sub Y} as its gauge group, the hyperchages are settled to be n/6 mod Z(n=0,1,3,4). In addition, the conditions for gauge-anomaly cancellation give strong constraints. As a result, the ratios of the hypercharges are uniquely determined and the gravitational anomaly is automatically canceled. The standard charge assignment to quarks and leptons can be properly reproduced. For exotic matter fields their hypercharges are also discussed.

• OSTI ID: 21503897
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevD.83.015009; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALLOCATIONS
CANCELLATION
GAUGE INVARIANCE
HYPERCHARGE
LEPTONS
QUANTIZATION
QUARKS
STANDARD MODEL
SU-2 GROUPS
SU-3 GROUPS
U-1 GROUPS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED GAUGE MODELS