Uniqueness of SU(5) and SO(10) grand unified theories

Journal Article · Mon Jun 15 04:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.3058· OSTI ID:6440398

Tosa, Y; Okubo, S

We will prove that SU(5) and SO(10) grand unified theories are almost uniquely chosen under a few reasonable assumptions. The main ansatz is that there exist only left-handed particles in an SU(2) doublet and their antiparticles in an SU(2) singlet. For the case of a single-multiplet unification, SO(10) is unique, using the facts that the charge of the d quark is not neutral and the theory should be anomaly free. For the case of two-multiplet unification, SU(5) is unique among SU(N) (N< or =500). The color group is effectively determined as the standard SU(3) with triplets of colored quarks. Quark charges must be the standard 2/3 and -1/3. No unifying simple group exists for G(horizontal) x G(GUT) under the assumptions above. For the case of SU(5), the cancellation of the triangle anomaly emerges as a consequence rather than a hypothesis.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 6440398
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 23:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles &amp; Symmetries-- General-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
FERMIONS
LEPTONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
SO GROUPS
SU GROUPS
SU-2 GROUPS
SU-5 GROUPS
SYMMETRY GROUPS
UNIFIED GAUGE MODELS