Complexified quantum field theory in operator form

Abstract

The anti self-adjoint operators of imaginary coordinate and momentum, together with the self-adjoint operators of real coordinate, momentum, energy and time are used in construction of the quantum field theory in operator form. This formalism, being free of many dubious mathematical situations characteristic to the standard treatment of quantum fields, is applied in formulation of the new gauge condition for electromagnetic field that describes the absence of the scalar and longitudinal photons. Proposed formalism offers adequate theoretical framework for proper description of the multicomponent fields, including quantum gravity.