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Towards a construction of inclusive collision cross-sections in the massless Nelson model

By Wojciech Dybalski

Abstract

The conventional approach to the infrared problem in perturbative quantum electrodynamics relies on the concept of inclusive collision cross-sections. A non-perturbative variant of this notion was introduced in algebraic quantum field theory. Relying on these insights, we take first steps towards a non-perturbative construction of inclusive collision cross-sections in the massless Nelson model. We show that our proposal is consistent with the standard scattering theory in the absence of the infrared problem and discuss its status in the infrared-singular case.Comment: 23 pages, LaTeX. As appeared in Ann. Henri Poincar\'

Topics: Mathematical Physics, 81U99, 81T10, 81T05
Year: 2013
DOI identifier: 10.1007/s00023-011-0156-6
OAI identifier: oai:arXiv.org:1104.4265
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