Hostname: page-component-5b777bbd6c-2c8nx Total loading time: 0 Render date: 2025-06-19T11:19:40.899Z Has data issue: false hasContentIssue false
  • English
  • Français

Calculation of S-matrix elements

Published online by Cambridge University Press:  24 October 2008

J. S. R. Chisholm
J. S. R. Chisholm
Affiliation:
Christ's CollegeCambridge*
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 2 , April 1952 , pp. 300 - 315
Copyright
Copyright © Cambridge Philosophical Society 1952

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Chisholm, J. S.R. Phys. Rev. (2), 82 (1951), 448.Google Scholar
(2)Dyson, F. J.Phys. Rev. (2), 75 (1949), 486.Google Scholar
(3)Dyson, F. J.Phys. Rev. (2), 75 (1949), 1736.Google Scholar
(4)Dyson, F. J.Phys. Rev. (2), 82 (1951), 428.CrossRefGoogle Scholar
(5)Dyson, F. J.Phys. Rev. (2), 83 (1951), 608.Google Scholar
(6)Dyson, F. J.Proc. roy. Soc. A, 207 (1951), 395.Google Scholar
(7)Feynman, , R. P. Phys. Rev. (2), 76 (1949), 749.CrossRefGoogle Scholar
(8)Feynman, , R. P. Phys. Rev. (2), 76 (1949), 769.CrossRefGoogle Scholar
(9)Furry, W. H.Phys. Rev. (2), 51 (1937), 125.Google Scholar
(10)Karplus, R. and Kroll, N. M.Phys. Rev. (2), 77 (1950), 536.CrossRefGoogle Scholar
(11)Matthews, P. T.Phil. Mag. (7), 42 (1951), 221.Google Scholar
(12)Rorlich, F.Phys. Rev. (2), 80 (1950), 666.CrossRefGoogle Scholar
(13)Salam, A.Phys. Rev. (2), 82 (1951), 217.CrossRefGoogle Scholar
(14)Ward, J. C.Phys. Rev. (2), 78 (1950), 182.CrossRefGoogle Scholar
(15)Ward, J. C.Proc. phys. Soc. Lond. 64 (1951), 54.CrossRefGoogle Scholar