Abstract
Our previous work for deriving the Weinberg-Salam model from leptonic system (v, and e) based on an analogy with superconductivity has been extended by Terazawa, Akama and Chikashige to a more realistic model including quarks. We present here a further unified model including v,, 11 and quarks with both flavor and color degrees of freedom. It is shown that a Lagrangian of self-interacting leptons and quarks generates three models for elementary particle interactions, i.e., the Weinberg-Salam model for weak and electromagnetic interactions of leptons and quarks, the asymptotically free gauge model of Gross, Wilczek and Politzer for strong interaction of quarks, and also the vortex model of Nielsen and Olesen for dual strings. All elementary-particle forces are shown to be related with a single coupling strength, i.e., the fine-structure constant, and this coincides with the prediction of Terazawa et a!. and hence with that of Georgi and Glashow based on the SU(5) gauge model. Mass values of vector bosons and Higgs scalars will also be predicted.
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