Grand unified theories based on SU(N) as a gauge group

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

OSTI ID:5072013

Popovic, M B

Possible extensions of the minimal grand unified theory based on SU(5) are discussed. Two basic problems of any unifing scheme are stressed: namely, the problem of generations and the possibility of having intermediate mass scales between the grand unified scale and the scale of weak interactions. It is shown how the principle of asymptotic freedom and the ''anomaly free'' condition can be used to put limits on the number of generations. In the second part of this work the maximal grand unification symmetry based on the SU(16) group and derive limits (using renormalizing group equations) on intermediate mass scales for various possible chains of symmetry breaking. It is shown in particlar that, in this model, the scale of grand unification can be as low as 10/sup 5/GeV without any conflict with observations. One can also have parity restoration at low energies (of order 200 GeV) provided allowance is made for sin/sup 2/O/sub W/ = 0.27. Detailed phenomenological implications of the SU(16) model for baryon nonconservation are discussed.

• Research Organization: City Univ. of New York, NY (USA)
• OSTI ID: 5072013
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
CONSERVATION LAWS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
HADRONS
LIE GROUPS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
SCALING LAWS
SU GROUPS
SU-5 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES