Il Nuovo Cimento (1955-1965)

, Volume 31, Issue 3, pp 682–687 | Cite as

The nature of perturbation expansion in regularized field theories

  • W. M. Frank
  • A. L. Licht
Lettere Alla Redazione


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  1. (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).MathSciNetADSCrossRefMATHGoogle Scholar
  2. (2).
    N. N. Bogoliubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields, chapt. IV (New York, 1959).Google Scholar
  3. (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).MathSciNetADSCrossRefMATHGoogle Scholar
  4. (4).
    B. Ferretti:Nuovo Cimento,27, 1503 (1963).MathSciNetCrossRefGoogle Scholar
  5. (5).
    Seee.g.,E. R. Caianiello:Nuovo Cimento,13, 637 (1959).CrossRefMATHGoogle Scholar
  6. (6).
    R. R. Goldberg:Fourier Transforms, chapt. 5 (Cambridge, 1961).Google Scholar
  7. (7).
    E. F. Beckenbach andR. Bellman:Inequalities (Berlin, 1961), p. 63.Google Scholar

Copyright information

© Società Italiana di Fisica 1964

Authors and Affiliations

  • W. M. Frank
    • 1
  • A. L. Licht
    • 1
  1. 1.U. S. Naval Ordnance LaboratorySilver Spring

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