# Infrared problem in perturbative quantum field theory

@article{Duch2021InfraredPI,
title={Infrared problem in perturbative quantum field theory},
author={Paweł Duch},
journal={Reviews in Mathematical Physics},
year={2021}
}
• Paweł Duch
• Published 3 June 2019
• Physics
• Reviews in Mathematical Physics
We propose a mathematically rigorous construction of the scattering matrix and the interacting fields in models of relativistic perturbative quantum field theory with massless fields and long-range interactions. We consider quantum electrodynamics and a certain model of interacting scalar fields in which the standard definition of the scattering matrix is not applicable because of the infrared problem. We modify the Bogoliubov construction using the ideas of Dollard, Kulish and Faddeev. Our…

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An almost radial gauge $$A^\mathrm {ar}$$ A ar of the electromagnetic potential is constructed for which $$x\cdot A^\mathrm {ar}(x)$$ x · A ar ( x ) vanishes arbitrarily
Correction to: Infrared Problem vs Gauge Choice: Scattering of Classical Dirac Field
A Correction to this paper has been published: https://doi.org/10.1007/s00023-020-01015-y

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