On the Ultraviolet Divergence in QED

TL;DR

This paper proposes a novel approach to quantum electrodynamics by replacing fermion operators with pairs, revealing new effects like logarithmic running and finite radiative corrections.

Contribution

It introduces a method replacing fermion operators with pairs to uncover effects not previously explored in QED.

Findings

Reveals characteristic effects leading to logarithmic running terms.

Demonstrates finite radiative corrections can be directly obtained.

Provides a new perspective on ultraviolet divergence in QED.

Abstract

The well-known physical equivalence drawn from hole theory is applied in this article. The author suggests to replace, in the part of Feynman diagram which cannot be fixed by experiments, each fermion field operator, and hence fermion propagator, by pairs of equivalent fermion field operators and propagators. The formulation of this article thus yields additional terms which reveal characteristic effects that have not been explored previously; such characteristic effects lead to the appearence of logarithmic running terms and that finite radiative corrections are directly obtained in calculations.