Search for grand unification groups

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1982

OSTI ID:5907194

Tosa, Y

The search for a local symmetry group for grand unified theories is carried out, using group-theoretical techniques. For grand unification of particles and antiparticles, we prove the uniqueness of SU(5) and SO(10) models under some reasonable assumptions. For grand unification of particles, we justify the Pati-Salam models. In both cases, electric charges of quarks and leptons are intimately related to the choice of grand unification groups. In the former, we show that electric charges of quarks must be 2/3 and -1/3. The color group must be SU(3) with triplet-colored quarks. In the latter, the electric charges of particles, (2/3, -1/3, 0, -1) almost fix grand unification groups. We give a rather detailed review of group theory, in order to prove the statements above.

• Research Organization: Rochester Univ., NY (USA)
• OSTI ID: 5907194
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR
ELECTRIC CHARGES
ELEMENTARY PARTICLES
FERMIONS
GROUP THEORY
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
OPTICAL PROPERTIES
ORGANOLEPTIC PROPERTIES
PARTICLE MODELS
PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUARKS
SO GROUPS
SU GROUPS
SU-3 GROUPS
SU-5 GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS