Riassunto
Sviluppando idee contenute in precedenti lavori si propone un metodo di rinormalizzazione per l’elettrodinamica quantistica che non fa uso dela teoria delle perturbazioni in nessun passo. In tale metodo la carica é trattata come un parametra che puó esser fatto variare con continuitá. Viene mostrato come, data la rappresentazione di Feynman delle osservabili per un certo valore della carica, si possa costruire detta rappresentazione per un valore della carica differente di poco, eliminando formalmente per rinormalizzazione le divergenze che sorgono quando si fa variare la carica.
Summary
A renormalization method for quantum electrodynamics which in no step does make use of the perturbation theory, is carried on by using some ideas proposed in an earlier paper. In this method the electric charge is a parameter which may vary with continuity. It is then shown how it is possible to construct explicitely the Feynmann representation of any observable for a value of the charge which differs by an infinitesimal amount from a given value, when this representation is supposed known for the given value of the charge. It is shown further how the divergences which arise by varying the charge can be formally eliminated by means of the renormalization.
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Ferretti, B. Sulla diagonalizzazione della hamiltoniana nella teoria dei campi (II). Nuovo Cim 10, 1079–1125 (1953). https://doi.org/10.1007/BF02773103
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DOI: https://doi.org/10.1007/BF02773103