Causal scattering matrix in quantum electrodynamics

TL;DR

This paper introduces a new causal scattering matrix for quantum electrodynamics that is a convergent series, avoiding divergent integrals common in traditional formulations.

Contribution

It constructs a causal scattering matrix using chronological products of Lagrangians with different arguments, ensuring convergence and eliminating divergences.

Findings

The scattering matrix is a convergent series.

It does not contain diverging integrals.

Provides a divergence-free formulation of QED scattering processes.

Abstract

A causal scattering matrix of quantum electrodynamics is constructed by means of chronological product of Lagrangians where the fields have the different arguments. This scattering matrix is a convergent series and does not contain the diverging integrals.