Classical Electron Model with QED Corrections

TL;DR

This paper develops a classical general relativistic model of an electron incorporating QED corrections, providing a metric that accounts for radiative effects on the Coulomb potential within a perturbative framework.

Contribution

It introduces a novel metric for a non-spinning electron with QED corrections, derived from perturbative solutions to Einstein's equations including radiative effects.

Findings

Near-field metric resembles a global monopole

Successfully incorporates QED corrections into classical electron model

Maintains photon masslessness to first order in alpha

Abstract

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field approximations. We solve the three field equations in both cases by using a perturbative expansion to first order in alpha (the fine-structure constant) while insisting that the usual (+, +, -, -) structure of the stress-energy tensor is maintained. The resulting metric models a (non-spinning) electron with a Coulomb potential with QED corrections, and maintains masslessness of the photon to self-consistent order. The near-field solution resembles the metric of a global monopole.