Introduction to the Use of Non-Linear Techniques in S-Matrix Theory

David Atkinson

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Abstract

I am going to explain to you how one can tackle certain problems in S-matrix theory that involve nonlinear functional equations. A physicist’s usual reaction to a non-linear equation of this kind would be either to try to get an approximate solution by iteration, or to introduce a linearization, perhaps in the neighbourhood of a known approximate solution. I will introduce some concepts of Banach space analysis [1], which will enable us to put these intuitive ideas on a rigorous basis. The advantage is that one can sometimes prove the existence of solutions of the exact equations, without any approximations.
Original languageEnglish
Title of host publicationDevelopments in High Energy Physics
Subtitle of host publicationProceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz
PublisherSpringer
Pages32-70
Number of pages39
DOIs
Publication statusPublished - 1970
EventDevelopments in High Energy Physics - Steiermark, Austria
Duration: 23-Feb-19707-Mar-1970

Conference

ConferenceDevelopments in High Energy Physics
CountryAustria
CitySteiermark
Period23/02/197007/03/1970

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