Krein Regularization of QED

TL;DR

This paper applies Krein space quantization with quantum metric fluctuations to QED, achieving automatic regularization and finite results for key quantities, and compares these with conventional QED outcomes.

Contribution

It introduces a novel regularization approach in QED using Krein space quantization, simplifying calculations and eliminating divergences.

Findings

Electron and photon self-energies are finite in Krein space.

Magnetic anomaly and Lamb shift are computed without divergences.

Results align with conventional QED in the one-loop approximation.

Abstract

In this paper the electron self-energy, photon self-energy and vertex functions are explicitly calculated in Krein space quantization including quantum metric fluctuation. The results are automatically regularized or finite. The magnetic anomaly and Lamb shift are also calculated in the one loop approximation in this method. Finally, our results are compared to conventional QED results.