QED using the nilpotent formalism

TL;DR

This paper applies the nilpotent formalism to quantum electrodynamics (QED), demonstrating that renormalization emerges naturally from the second quantization inherent in this approach, leading to finite fundamental quantities.

Contribution

It introduces a nilpotent formalism for QED that inherently ensures finiteness of key quantities without traditional renormalization procedures.

Findings

The nilpotent formalism automatically second quantizes the field.

Fundamental quantities in QED become finite within this framework.

Renormalization is reinterpreted as a natural consequence of the formalism.

Abstract

The nilpotent formalism for the Dirac equation, outlined in previous papers,is applied to QED. It is shown that what is usually described as 'renormalization' is effectively a statement of the fact that the nilpotent formulation is automatically second quantized and constrains the field into producing finite values for fundamental quantities.