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The formalism of quantum field theory in operator form, based on the antiself-adjoint operators of the imaginary coordinate and momentum and theself-adjoint operators of the real coordinate, momentum, energy and time, isused in considerations of the spinor fields and related topics. The unitaryrepresentation of the Lorentz boosts in the spin-orbital space is given. Theoperators that mirror-reflect the spin are introduced and then used indiscussion of the spin parity. The conclusion that the spin is odd is used inthe analyze of the parity violation in the cobalt-60 beta decay and it is foundthat the parity is not broken. The explanation why there are only right-handedantineutrinos and left-handed neutrinos is offered on the basis of appropriatetreatment of the influence of spin on momentum. The inversion of time istreated within the framework of the operators of time and energy and thissymmetry is represented in a way that respects the Schr\"odinger equation andthis is done by the Wick rotations of involved operators and vectors of thecomplexified formalism.

Complexified spinor fields in operator form