Charges from Dressed Matter: Construction

TL;DR

This paper challenges the common belief in particle physics by constructing locally gauge invariant charged fields in QED that create well-defined in and out states, addressing infra-red divergence issues.

Contribution

It introduces a method to construct gauge invariant charged fields in QED that form proper in and out states, countering previous assumptions about the impossibility of a relativistic charged particle description.

Findings

Constructed gauge invariant charged fields in QED.

Demonstrated these fields create proper in and out Fock states.

Green's functions of these fields have a good pole structure.

Abstract

There is a widespread belief in particle physics that there is no relativistic description of a charged particle. This is claimed to be due to persistent, long range interactions which distort the in and out going plane waves and generate infra-red divergences. In this paper we will show that this is not the case in QED. We construct locally gauge invariant charged fields which do create in and out Fock states. In a companion paper we demonstrate that the Green's functions of these fields have a good pole structure describing particle propagation.