Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm

TL;DR

This paper constructs infraparticle scattering states in non-relativistic QED, removing infrared regularization and confirming classic theoretical predictions, advancing the understanding of infrared phenomena in quantum electrodynamics.

Contribution

It provides a rigorous construction of infraparticle scattering states in non-relativistic QED without infrared cutoff, confirming longstanding theoretical predictions.

Findings

Successfully removes infrared cutoff in the construction

Confirms properties predicted by Bloch-Nordsieck and Faddeev-Kulish theories

Advances the solution to the infrared problem in non-relativistic QED

Abstract

We construct infraparticle scattering states for Compton scattering in the standard model of non-relativistic QED. In our construction, an infrared cutoff initially introduced to regularize the model is removed completely. We rigorously establish the properties of infraparticle scattering theory predicted in the classic work of Bloch and Nordsieck from the 1930's, Faddeev and Kulish, and others. Our results represent a basic step towards solving the infrared problem in (non-relativistic) QED.