Krein regularization of QED

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, the obtained results are compared to conventional QED results.

► Krein regularization yields finite values for photon and electron self-energies and vertex function. ► The magnetic anomaly is calculated and is exactly the same as the conventional result. ► The Lamb shift is calculated and is approximately the same as in Hilbert space.