Constraint on color gauge groups

Susumu Okubo
Phys. Rev. D 16, 3535 – Published 15 December 1977
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Abstract

Assuming that the colored gauge group Gc is not necessarily the SU(3) but an arbitrary simple compact Lie group, we find that cases of Gc being one of the groups SU(2), SO(4l), SO(2l+1), Sp (2l), G2, F4, E7, and E8 Will lead to a difficulty with the quark-line rule. Therefore, only the groups SU(n) (n3), SO(4l+2) (l1), and E6 remain to be possible candidates for Gc. It is argued that the same restriction also applies to any unified simple group G of all strong, weak, and electromagnetic interactions.

  • Received 15 September 1977

DOI:https://doi.org/10.1103/PhysRevD.16.3535

©1977 American Physical Society

Authors & Affiliations

Susumu Okubo

  • Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627

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Vol. 16, Iss. 12 — 15 December 1977

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