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Il Nuovo Cimento A (1965-1970)

, Volume 45, Issue 2, pp 478–486 | Cite as

On complex singularities of Feynman diagrams

  • I. Aganović
Article
  • 18 Downloads

Summary

In the present paper a characterization of complex singularities on the first sheet of an arbitrary Feynman diagram is given. The result is a generalization of the analysis given by Petrina for scattering diagrams.

Keywords

Feynman Diagram Complex Point Complex Singularity Plane Diagram Finite Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Riassunto

In questo articolo si espone una caratterizzazione di singolarità complesse sul primo foglietto di un diagramma di Feynman arbitrario. Il risultato è una generalizzazione dell'analisi fatta da Petrina dei diagrammi di scattering.

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References

  1. (2).
    In fact, the Feynman integral is more complicated, but the omitted factor is not essential to the analytic properties of the amplitude.Google Scholar
  2. (3).
    See, for example,N. A. Černikov, A. A. Logunov andI. T. Todorov: Preprint D-578 (Dubna, 1960).Google Scholar
  3. (4).
    In further text we use the following notations:R n,C n—then-dimensional real and complex space, respectively;x,yR n,x=(x 1,x 2,…x n);zC n z=(z 1,z 2,…,z n).Google Scholar
  4. (5).
    T. T. Wu:Phys. Rev.,123, 678 (1961).ADSCrossRefGoogle Scholar
  5. (6).
    L. D. Landau:Nucl. Phys.,13, 181 (1959);J. C. Polkinghorne andG. R. Screaton:Nuovo Cimento,15, 289 (1960).CrossRefGoogle Scholar
  6. (7).
    See, for example,V. S. Vladimirov:Metody teorii funkcij mnogih kompleksnyh peremenyh (Moskva, 1964), p. 178.Google Scholar
  7. (8).
    See, for example,V. S. Vladimirov:Metody teorii funkcij mnogih kompleksnyh peremenyh (Moskva, 1964), p. 57.Google Scholar

Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • I. Aganović
    • 1
  1. 1.Institute of MathematicsUniversity of Zagreb and Institute «Ruder Bošković»Zagreb

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