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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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