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An inequality in Feynman integrands

Published online by Cambridge University Press:  24 October 2008

D. B. Fairlie
D. B. Fairlie
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Cavendish Laboratory, Cambridge
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Abstract

A proof by means of graphical techniques is given of an inequality conjectured by Nakanishi concerning the Feynman integrand for any term in the perturbation expansion of the scattering amplitude.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 157 - 160
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Bogoluibov, N. N. and Shirkov, D. V.Introduction to the theory of quantised fields (Inter-science; New York, 1959).Google Scholar
(2)Nakanishi, N.Progr. Theoret. Phys. 26 (1961), 927–942.CrossRefGoogle Scholar
(3)Symanzik, K.Progr. Theoret. Phys. 20 (1958), 690–702.(Cf. J. Clerk Maxwell, Electricity and magnetism, vol. I, 3rd ed., p. 409.)CrossRefGoogle Scholar
(4)Okun, L. B. and Rudik, A. P.Nuclear Phys. 14 (1960), 261–288.CrossRefGoogle Scholar
(5)Landshoff, P. V.Nuclear Phys. 20 (1960), 129–135.CrossRefGoogle Scholar