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Infra-red divergences and adiabatic switching. Fourth-order vaccum polarization

Инфракрасные расходимости и адиабчтическое включение Поляризация вакуума в четрертом порядке

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Il Nuovo Cimento A (1965-1970)

Summary

It is shown, discussing the explicit case of further order vacuum polarization, that the adiabatic switching procedure allows a proper treatment of infra-red divergences, without introducing any fictitious photon mass. The new approach suggests a method of carrying out explicitly the calculation, which does not create dishomogeneity in evaluating the contributions from two- and three-body intermediate states.

Riassunto

Si mostra, discutendo il caso esplicito della polarizzazione di vuoto al 4° ordine, che il procedimento della accensione adiabatica dell'interazione permette di trattare correttamente le divergenze infrarosse, senza introdurre una massa fittizia del fotone. Il nuovo approccio suggerisce un metodo per effettuare esplicitamente il calcolo senza creare disomogeneità nel trattamento dei contributi di stati intermedi a due e tre corpi.

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References

  1. The problem is systematically investigated in the paperD. R. Yennie, S. C. Frautschi andH. Suura:Ann. of Phys.,13, 379 (1961).

    Article  ADS  Google Scholar 

  2. See, for instance,C. De Calan, R. Stora andW. Zimmermann:Lett. Nuovo Cimento,17, 877 (1969).

    Article  Google Scholar 

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

  4. B. Ferretti:Nuovo Cimento,8, 108 (1951).

    Article  MathSciNet  Google Scholar 

  5. G. Källén andA. Sabry,Dan. Mat. Fys. Medd.,29, No. 17 (1955).

  6. P. Blanchard andR. Seneor: preprint Th. 1420-CERN, November 1971.

  7. R. E. Cutkosky:Journ. Math. Phys.,1, 429 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. M. Veltman:Proceedings of the II Colloquium on Advanced Computing Methods in Theoretical Physics (Marseille, 1971), p. iv-115.

  9. R. Barbieri, J. A. Mignaco andE. Remiddi:Nuovo Cimento,11 A, 824, 865 (1972).

    Article  ADS  Google Scholar 

  10. G. Källén:Handbuch der Physik, Vol.5, (Berlin, 1958), p. 283.

    Google Scholar 

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Barbieri, R., Remiddi, E. Infra-red divergences and adiabatic switching. Fourth-order vaccum polarization. Nuov Cim A 13, 99–119 (1973). https://doi.org/10.1007/BF02788909

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  • DOI: https://doi.org/10.1007/BF02788909

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