Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields

TL;DR

This paper develops a version of quantum electrodynamics using self-conjugated spinor equations, which yields results consistent with standard QED while uniquely restricting intermediate states to positive energies and assigning opposite signs to particle and antiparticle masses.

Contribution

It introduces a self-conjugated equation framework for QED that simplifies calculations by limiting virtual states to positive energies and distinguishes particle-antiparticle mass signs.

Findings

Results match standard QED cross-sections

Electron self-energy and magnetic moment calculations agree with known values

Unique feature: only positive energy states in intermediate calculations

Abstract

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The final results coincide with cross-sections calculated in the standard QED. The self-energy of an electron and amplitudes of processes associated with determination of the anomalous magnetic moment of an electron and Lamb shift are calculated. These results agree with the results in the standard QED.Distinctive feature of the developed theory is the fact that only states with positive energies are present in the intermediate virtual states in the calculations of the electron self-energy, anomalous magnetic moment of an electron and Lamb shift. Besides, in equations, masses of particle and anti-particles have the opposite signs.