Electron Self-energy in Pseudo-Hermitian Quantum Electrodynamics with a Maximal Mass M

TL;DR

This paper calculates the electron self-energy within a pseudo-Hermitian quantum electrodynamics framework incorporating a maximal mass M, resulting in a finite self-mass dependent on a natural momentum cutoff, offering insights into mass origin and renormalization.

Contribution

It introduces a finite electron self-energy calculation in a model with a maximal mass M, providing new perspectives on mass generation and renormalization in quantum electrodynamics.

Findings

Electron self-mass is finite due to the maximal mass M.

Self-mass depends on the maximum transmitted momentum.

Two interpretations suggest different views on mass renormalization.

Abstract

The electron self-energy (self-mass) is calculated on the basis of the model of quantum field theory with maximal mass M, developed by V.G.Kadyshevsky et al. within the pseudo-Hermitian quantum electrodynamics in the second order of the perturbation theory. In theory, there is the natural cut-off of large transmitted momentum in intermediate states because of presence of the universal mass M. As a result, the electron self-mass is finite and depends on the transmitted maximum momentum. Two interpretations of the obtained results are possible at defined M and A. The first interpretation allows confirming quantitatively the old concept of elementary particle mass sources defined by interaction of particles with self-gauge fields. The second interpretation results in the possibility not to renormalize the mass (at least in the second order of perturbation theory) owing to the zero mass operator.