Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-18T18:22:23.815Z Has data issue: false hasContentIssue false

On the general correspondence between field theories and the theories of direct interparticle action

Published online by Cambridge University Press:  24 October 2008

J. V. Narlikar
Affiliation:
Institute of Theoretical Astronomy, University of Cambridge

Abstract

It is well known that classical electrodynamics can be described both as a field theory and as a theory of direct interparticle action. In the present paper it is shown that, provided certain general conditions are satisfied, fields of arbitrary spin have their counterparts in ‘direct particle fields’. This correspondence between the two formalisms is established in the Riemannian space-time used for general relativity.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

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.)

References

REFERENCES

(1)DeWitt, B. S. and Brehme, R. W.Annals Phys. 9 (1960), 220.CrossRefGoogle Scholar
(2)Fokker, A. D.Z. Phys. 58 (1929 a), 386.CrossRefGoogle Scholar
(3)Fokker, A. D.Physica 9 (1929 b), 33.Google Scholar
(4)Fokker, A. D.Physica 12 (1932), 145.Google Scholar
(5)Hogarth, J. E.Proc. Roy. Soc. Ser. A 267 (1962), 365.Google Scholar
(6)Hoyle, F. and Narlikar, J. V.Proc. Roy. Soc. Ser. A 277 (1963), 1.Google Scholar
(7)Hoyle, F. and Narlikar, J. V.Proc. Roy. Soc. Ser. A 282 (1964), 184.Google Scholar
(8)Hoyle, F. and Narlikar, J. V.Proc. Roy. Soc. Ser. A 299 (1967), 188.Google Scholar
(9)Islam, J. N.Proc. Roy. Soc. Ser. A 294 (1966), 437.Google Scholar
(10)Synge, J. L.Relativity: the general theory (North Holland Publishing Co., 1960).Google Scholar
(11)Schwarzschild, K.Nachr. G. Wiss. Göttingen, Math.-Phys. Kl. II 128 (1903), 132.Google Scholar
(12)Tetrode, H.Z. Phys. 10 (1922), 317.CrossRefGoogle Scholar
(13)Wheeler, J. A. and Feynman, R. P.Rev. Modern Phys. 17 (1945), 156.CrossRefGoogle Scholar
(14)Wheeler, J. A. and Feynman, R. P.Rev. Modern Phys. 21 (1949), 424.Google Scholar