QED effective action in Krein space quantization

TL;DR

This paper calculates the one-loop effective action of QED using Krein space quantization, demonstrating that it is inherently finite and matches the renormalized result obtained by Schwinger.

Contribution

It introduces Krein space quantization as a method to naturally regularize the QED effective action without additional renormalization procedures.

Findings

Effective action is finite and regularized naturally.

Results coincide with Schwinger's renormalized solution.

Krein space quantization offers a new approach to QED calculations.

Abstract

The one-loop effective action of QED is calculated by the Schwinger method in Krein space quantization. We show that the effective action is naturally fnite and regularized. It also coincides with the renormalized solution which was derived by Schwinger.