FERMION QUANTUM FIELD THEORY WITH A NEW GAUGE SYMMETRY, RELATED TO A PSEUDOSCALAR-CONSERVED-CHARGE VARIETY

Abstract

Massive chiral fields, “left-handed” for fermions and “right-handed” for antifermions, are shown to be a natural prediction of a new approach to the Dirac field theory which in the zero-mass limit spontaneously yields Weyl’s two-component scheme. Such an approach gives an improved theoretical framework to the “standard model”: It accounts for (and clarifies the origin of) the “P-violation” effect, without needing any ad-hoc external prescriptions. A double-faced—either “Dirac” or “chiral” — model of a massive spin[Formula: see text] fermion is involved, due to the internal coexistence of two anticommuting—scalar and pseudoscalar—varieties of charges, the former being responsible for “P-conserving” processes and the latter for “P-violating” ones. The resulting scheme, besides naturally embodying the P-violation effect, leads paradoxically to a retrieval of parity symmetry itself: owing to the anticommutivity property of the above coexisting charge varieties, a chiral fermion is predicted to be the same as a mere pseudoscalar-charge particle, and the ordinary CP mirror image of the weak-isospin fermionic current may now become the true P mirror image of it. On these grounds a suitable generalized field formalism is built, which turns out to be endowed also with chiral gauge invariance, in spite of the presence of mass. Such novel global gauge symmetry is shown to express pseudoscalar-charge conservation; its local extension is seen to yield a “minimal” coupling, which could in particular apply to magnetic-monopole dynamics.