New Electroweak Formulation Fundamentally Accounting for the Effect Known as “Maximal Parity-Violation” (original) (raw)

Abstract

The electroweak scheme is wholly recast, in the framework of a relativistic quantum field formalism being a covariant fermion–antifermion extension of the usual one for massive spin-\(\frac{1}{2}\) point fermions. The new formalism is able to reread the “maximal _P_-violation” effect in a way restoring P and C symmetries themselves: it provides a natural “chiral field” approach, which gives evidence of the existence of a pseudoscalar (extra) charge variety anticommuting with the scalar (ordinary) one and just underlying the “maximally _P_-violating” phenomenology. Its zero-mass limit leads to a strict “chiral” particle theory, which remodels any massless spin-\(\frac{1}{2}\) fermion and corresponding antifermion as two mere pseudoscalar-charge eigenstates being the simple mirror images of each other. On such a basis, the (zero-mass) electroweak primary fermions are all redefined to be (only left-handed) “chiral” particles (with right-handed complements just standing for their antiparticles) and to carry at most scalar charges subjected as yet to a maximal uncertainty in sign: it is only by acquiring mass, and by gaining an extra helicity freedom degree, that they now may also manifest themselves as “Dirac” particles, with sharp scalar-charge eigenvalues. The fermion-mass appearance is thus made herein a dynamical condition strictly necessary to obtain actual superselected scalar-charge (and first, electric-charge) eigenstates. A pure “internal” mass-generating mechanism, relying only on would-be-Goldstone bosons (even to yield fermion masses) and no longer including an “external” Higgs contribution, is adopted accordingly. This is shown to be a self-consistent mechanism, which still maintains both renormalizability and unitarity. It involves a _P_-breaking in the neutral-weak-current sector (due to the Weinberg mixing) while it leaves the charged-current couplings truly _P_-invariant even in the presence of a (standardly parametrized) _CP_-violation.

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1. Dipartimento di Scienze Fisiche e Astronomiche, Universit` di Palermo, via Archirafi 36, I-90123, Palermo, Italy
   G. Ziino

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Ziino, G. New Electroweak Formulation Fundamentally Accounting for the Effect Known as “Maximal Parity-Violation”.Int J Theor Phys 45, 1993–2050 (2006). https://doi.org/10.1007/s10773-006-9168-2

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• Received: 12 December 2005
• Accepted: 20 March 2006
• Published: 06 June 2006
• Issue Date: November 2006
• DOI: https://doi.org/10.1007/s10773-006-9168-2

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