Unified Lepton-Hadron Symmetry and a Gauge Theory of the Basic Interactions
An attempt is made to unify the fundamental hadrons and leptons into a common orreducible representation F of the same symmetry of strong, electromagnetic, and weak interactions. Based on certain constraints from the hadronic side, it is proposed that the group G is SU(4') x SU(4''), which contains a Han-Nambu-type SU(3') x SU(3') group for the hadronic symmetry, and that the representation F is (4, 4*). There exist four possible choices for the lepton number L and accordingly four possible assignments of the hadrons and leptons within the (4, 4*). Two of these require nine Han-NaMbu-type quarks, three charmed'' quarks, and the observed quartet of leptons. The other two also require the nine Han-Nambu quarks, plus heavy leptons in addition to observed leptons and only one or no charmed'' quark. One of the above four assignments is found to be suitable to generate a gauge theory of the weak, electromagnetic, and SU(3'') gluonlike strong interactions from a selection of the gauges permitted by the model. The resulting gauge ee interactions is found to be free from Adler-Bell-Jackiw anomalies. The normal strong interactions arise effectively as a consequence of the strong gauges SU(3')/sub L+R/. Masses for the gauge bosons and fermions are generated suitably by a set of 14 complex Higgs fields. The neutral neutrino and % DELTA S = 0 hadron currents have essentially the same strength in the present model as in other SU(2)/sub L/ x U(l) theories. The mixing of of strong- and weak-gauge besons (a necessary feature of the model) lends to parity-violating nonleptonic amplitudes, which may be observable depending upon the strength of SU(3'') symmetry breaking. The familiar hadron symmetries such as SU(3') and chiral and by the electromagnetic and weak interactions, not by the strong interactions. The difficulties associated with generating gauge interactions in the remaining three assignments are discussed in Appendix A. Certain remarks are made on the question of proton and quark stability in these three schemes.
- Research Organization:
- Department of Physics and Astronomy, University of Maryland, College Park, Maryland
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-003605
- OSTI ID:
- 4416336
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 8, Issue 4; Other Information: Orig. Receipt Date: 30-JUN-74; ISSN 0556-2821
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
*HADRONS- SYMMETRY
*LEPTONS- SYMMETRY
*SU-3 GROUPS- IRREDUCIBLE REPRESENTATIONS
*SU-4 GROUPS- IRREDUCIBLE REPRESENTATIONS
CHIRAL SYMMETRY
ELECTROMAGNETIC INTERACTIONS
GAUGE INVARIANCE
QUARKS
STRONG INTERACTIONS
U-1 GROUPS
WEAK INTERACTIONS