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Wave, particle-family duality and the conservation of discrete symmetries in strong interaction

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Abstract

This paper starts from a nonlinear fermion field equation of motion with a strongly coupled self-interaction. Nonperturbative quark solutions of the equation of motion are constructed in terms of a Reggeized infinite component free spinor field. Such a field carries a family of strongly interacting unstable compounds lying on a Regge locus in the analytically continued quark spin. Such a quark field is naturally confined and also possesses the property of asymptotic freedom. Furthermore, the particular field self-regularizes the interactions and naturally breaks the chiral invariance of the equation of motion. We show why and how the existence of such a strongly coupled solution and its particle-family, wave duality forces a change in the field equation of motion such that it conserves C, P, T, although its individual interaction terms are of V-A and thus C, P nonconserving type.

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  1. Nuclear Development Corporation, Private Bag X256, 0001, Pretoria, Republic of South Africa

    E. van der Spuy

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  1. E. van der Spuy
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van der Spuy, E. Wave, particle-family duality and the conservation of discrete symmetries in strong interaction. Found Phys 14, 767–775 (1984). https://doi.org/10.1007/BF00736621

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  • DOI: https://doi.org/10.1007/BF00736621

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