Regularisation as a quantised low-pass filter

TL;DR

This paper presents a divergence-free regularisation method for relativistic quantum electrodynamics that is mathematically equivalent to traditional Feynman-Dyson renormalisation, offering a potentially novel perspective on quantum field theory.

Contribution

It introduces a divergence-free regularisation approach that aligns exactly with established renormalisation techniques in quantum electrodynamics.

Findings

The approach is mathematically equivalent to Feynman-Dyson renormalisation.

Provides a divergence-free framework for relativistic quantum electrodynamics.

Potentially simplifies calculations by avoiding divergences.

Abstract

A divergence-free approach to relativistic quantum electrodynamics based on regularisation of equations of quantum mechanics is discussed. This approach is shown to be exactly equivalent to the conventional Feynman-Dyson renormalisation techniques.