1952•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Calculation of S-matrix elements

J. S. R. Chisholm

Abstract

Abstract A method of calculating S-matrix elements is described. All factors corresponding to lines in Feynman-Dyson graphs are put in the form of scalar boson line factors acted on by certain operators and involving only the energy-momenta of external lines and particle masses. A general formula is given for the integral of a product of scalar boson factors, and the effect of a product of operators and on this result is described. The infinities appear in a different form, and it is shown how subtraction procedure can be applied to eliminate them.

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Available abstract

Key concepts: Scalar boson, Scalar (mathematics), Feynman diagram, Boson, Product (mathematics), Matrix (chemical analysis), Subtraction, Line (geometry)