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Convergence in the intermediate representation

Published online by Cambridge University Press:  24 October 2008

J. Hamilton
J. Hamilton
Affiliation:
Christ's CollegeCambridge
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Abstract

It is shown that for the quantized φ3 field the series expansions for intermediate representation field operators are convergent for summation over all graphs except those containing self-energy and vertex parts. The method used does not permit an investigation of the self-energy and vertex parts.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 4 , October 1953 , pp. 642 - 649
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Dirac, P. A. M.Proc. Camb. phil. Soc. 30 (1934), 150.CrossRefGoogle Scholar
(2)Dyson, F. J.Phys. Rev. (2), 82 (1951), 428; 83 (1951), 608.CrossRefGoogle Scholar
(3)Dyson, F. J.Proc. roy. Soc. A, 207 (1951), 395.Google Scholar
(4)Dyson, F. J.Phys. Rev. (2), 85 (1952), 631.CrossRefGoogle Scholar
(5)Hurst, C. A.Proc. roy. Soc. A, 214 (1952), 44.Google Scholar
(6)Hurst, C. A.Proc. Camb. phil. Soc. 48 (1952), 625.CrossRefGoogle Scholar
(7)Hurst, C. A.Phys. Rev. (2), 88 (1952), 920.CrossRefGoogle Scholar
(8)Thirring, W.Helv. phys. Acta, 26 (1953), 33.Google Scholar