S‐Operator Theory. I. Formulation

It is postulated that the S operator is dynamically independent of the wavefunctions of the asymptotic states. From this postulate a functional differential equation for the S operator is developed. Its solutions include both the renormalized and unrenormalized Feynman‐Dyson S operators; appropriate...

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Bibliographic Details
Published in:Journal of mathematical physics 1965-05, Vol.6 (5), p.740-746
Main Author: Pugh, Robert E.
Format: Article
Language:English
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Summary:It is postulated that the S operator is dynamically independent of the wavefunctions of the asymptotic states. From this postulate a functional differential equation for the S operator is developed. Its solutions include both the renormalized and unrenormalized Feynman‐Dyson S operators; appropriate boundary conditions distinguish the two solutions. Interpolating quantum fields are defined in terms of the S operator and are only of secondary importance in this theory. Calculations in this theory are not appreciably more difficult than the corresponding calculations with the unrenormalized S operator.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1704331