A special structure of the scattering operator and infrared divergences in quantum electrodynamics
Abstract
We assume that the unperturbed operators are known. Then, the fact that the scattering operators and the unperturbed operators are pairwise permutable provides some important information about the structure of the scattering operators. Using this information and the ideas from the theory of generalized wave operators, we present a new approach to the divergence problems in quantum electrodynamics. We show that the so called infrared divergences appeared because the deviations of the initial and final waves from the free waves were not taken into account.
Keywords
Cite
@article{arxiv.1606.06759,
title = {A special structure of the scattering operator and infrared divergences in quantum electrodynamics},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1606.06759},
year = {2016}
}
Comments
This paper is closely connected with our paper arXiv:1602.07087 and developes further some important results from arXiv:1602.07087. In the current version, we add some results on a special structure of the scattering operators and use these results in order to justify our approach to divergence problems