Effective Description of a Composite Quark-Lepton Symmerty

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概要

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• We demonstrate the possibility that a basic [SU(2)]^N symmetry of N subconstituents, which describes particle and antiparticle transitions, turns out to be at most an "effective" SO(2N) symmetry and at least an "effective" SU(N)×U(1) symmetry of composite quarks and leptons whose states are specified by the N different kinds of subconstituents. The generators of the "effective" symmetry are identified by the correct algebraic properties specific to SO(2N) of composite operators constructed from the [SU(2)]^N-operators acting on the composite quark-lepton states. The composite quarks and leptons are found to respect SO(4)×SO(6) or SU(2)_L×U(1)_R×SU(3)_C×U(1)_<B-L> according to a new selection rule, which is generated by the bilinear products of the raising and lowering operators of [SU(2)]^5. This construction of the SO(4)×SO(6) generators allows us to uniquely define the five quantum numbers of this symmetry even at the subconstituent level. The full SO(10) generators can be also constructed ; however, one needs a newly arranged "[SU(2)]^5" symmetry only defined at the composite level, the generators of which turn out to be at most five body operators of the original [SU(2)]^5.

• 理論物理学刊行会の論文
• 1982-01-25

著者

• Yasue Masaki

  Research Institute For Fundamental Physics Kyoto University

• YASUE Masaki

  Department of Physics, Tokai University:Department of Natural Science, School of Marine Science and Technology Tokai University

関連論文

• Comment on the Radiative Neutrino Mass Matrix with a Sterile Neutrino : Particles and Fields
• On a Test of Neutral Current of a Baryon-Lepton Symmetry Model
• Effective Description of a Composite Quark-Lepton Symmerty
• Dynamically Favored Chiral Symmetry Breakings in Supersymmetric Quantum Chromodynamics : Particles and Fields

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