Solution of the Adiabatic Limit Problem. QED Without Infinities

TL;DR

This paper provides a positive solution to the adiabatic limit problem in causal perturbative QED on Minkowski space-time, using white noise construction, and advances the understanding of convergence issues in perturbative series.

Contribution

It introduces a novel approach to the adiabatic limit problem in QED using white noise methods, applicable to broader causal perturbative quantum field theories.

Findings

Successfully solves the adiabatic limit problem in QED

Provides a generalized scattering operator for cross section calculations

Method applicable to other causal perturbative QFTs like the Standard Model

Abstract

In this work we give positive solution to the adiabatic limit problem in causal perturbative QED on the Minkowski space-time, as well as give a contribution to the solution of the convergence problem for the perturbative series in QED on the Minkowski space-time, by using white noise construction of free fields. The obtained scattering operator is a generalized operator sufficient for the computation of the effective cross section, involving generalized many-particle plane wave states of the fundamental fields. Bound states remain outside the scope of the resulting QED on the Minkowski space-time. The method is general enough to be applicable to more general causal perturbative QFT, such as Standard Model with the Higgs field.