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The nature of perturbation expansion in regularized field theories

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Il Nuovo Cimento (1955-1965)

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References

  1. Suggestive arguments for the divergence of renormalized electrodynamics can be found inF. J. Dyson:Phys. Rev.,85, 631 (1952);S. F. Edwards:Phys. Rev.,90, 284 (1953);S. C. Frautschi:Progr. Theor. Phys. (Kyoto),22, 882 (1959). However it is conjectured (I. Birula:Phys. Rev.,122, 1942 (1961)) that apart from nonanalytic coupling constants, these constants if kept finite give a convergent renormalized expansion. Suggestive evidence for the convergence of regularized, perhaps, renormalized Yukawa theories can be found inR. Utiyama:Progr. Theor. Phys. (Kyoto),9, 593 (1953) andS. F. Edwards:Phil. Mag.,46, 569 (1955).

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  2. N. N. Bogoliubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields, chapt. IV (New York, 1959).

  3. E. C. G. Sudarshan:Phys. Rev.,123, 2183 (1961);K. Yokoyama:Progr. Theor. Phys. (Kyoto),26, 131 (1961);D. A. Kirzhnits:Žurn. Ėksp. Teor. Fiz.,41, 551 (1961); translation:Sov. Phys. JETP,14, 395 (1962).

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  6. R. R. Goldberg:Fourier Transforms, chapt. 5 (Cambridge, 1961).

  7. E. F. Beckenbach andR. Bellman:Inequalities (Berlin, 1961), p. 63.

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  1. U. S. Naval Ordnance Laboratory, Silver Spring, Md.

    W. M. Frank & A. L. Licht

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  1. W. M. Frank
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  2. A. L. Licht
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Frank, W.M., Licht, A.L. The nature of perturbation expansion in regularized field theories. Nuovo Cim 31, 682–687 (1964). https://doi.org/10.1007/BF02733767

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