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General theory of propagators

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Il Nuovo Cimento (1955-1965)

Summary

A general theory of propagators is developed. All propagators are derived from a generating functional. Renormalization corresponds to the adjustment of the coupling constants of the external sources. As an example, renormalized equations for Compton and Møller scattering are derived.

Riassunto

Si sviluppa una teoria generale dei propagatori. Tutti i propagatori si derivano da un funzionale generatore. La rinormalizzazione corrisponde all’adattamento delle costanti di accoppiamento delle sorgenti esterne. Come esempio si derivano delle equazioni per gli scattering di Compton e di Møller.

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References

  1. Propagators are sometimes calledGreen functions. see, e.g.,J. Schwinger (1).

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  2. An abstract of the present theory has been given in a series of publications inComptes Rendus (2).

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  3. J. Schwinger:Proc. Nat. Acad.,37, 452, 455 (1951).

    Article  ADS  Google Scholar 

  4. H. Umezawa andA. Visconti:Compt. Rend. (Paris),239, 690, 749, 1466 (1954).

    Google Scholar 

  5. A provisional approach to this problem has been given byS. Tanaka andH. Umezawa (3)

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  6. H. S. Green (1953) Proc. Phys. Soc. A 66 873–873 Occurrence Handle1953PPSA...66..873G Occurrence Handle10.1088/0370-1298/66/10/303

    Article  ADS  Google Scholar 

  7. S. Tanaka andH. Umezawa:Prog. Theor. Phys.,10, 617 (1953).

    Article  ADS  Google Scholar 

  8. H. S. Green:Proc. Phys. Soc., A66, 873 (1953).

    Article  ADS  Google Scholar 

  9. H. Umezawa andS. Oneda:Nuovo Cimento,12, 566 (1954);H. Umezawa, J. Podolanski andS. Oneda:Proc. Phys. Soc., A (in the press);T. Kinoshita:Phys. Rev.,96, 199 (1954).

    Article  Google Scholar 

  10. A. Visconti:Thèses (Paris), p. 75 (1953);Journ. Phys. et Rad.,14, 1951 (1953);Compt. Rend. (Paris),236, 2489 (1953).

  11. A similar formula has been derived bySymanzik (7). We received his publication only after completion of this paper.

    ADS  Google Scholar 

  12. K. Symanzik:Zeits. Naturf.,9, 809 (1954).

    ADS  Google Scholar 

  13. A. Visconti:Journ. Phys. et Rad.,16, 1 (1955).

    Article  Google Scholar 

  14. Lee (9) gave a simple model of interacting fields, which leads to two mass levels.

    Article  ADS  MathSciNet  Google Scholar 

  15. T. D. Lee:Phys. Rev.,95, 1329 (1954).

    Article  ADS  MathSciNet  Google Scholar 

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Author information

Author notes

  1. H. Umezawa

    Present address: Nagoya University, Japan

  2. A. Visconti

    Present address: Theoretical Study Division at the Institute for Theoretical Physics, CERN (European Organization for Nuclear Research), Copenhagen

Authors and Affiliations

  1. The Physical Laboratories, University of Manchester, UK

    H. Umezawa & A. Visconti

  2. the Institut Henri Poincaré, Paris

    A. Visconti

Authors
  1. H. Umezawa
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  2. A. Visconti
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Umezawa, H., Visconti, A. General theory of propagators. Nuovo Cim 1, 1079–1103 (1955). https://doi.org/10.1007/BF02731414

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  • DOI: https://doi.org/10.1007/BF02731414

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