Summary
A new formalism of a relativistic non-local theory of fields is suggested and discussed. In a first approximation special form-factors are introduced and with them a hamiltonian formalism is developed satisfying the claim of macroscopic causality. The problem of the convergency of the perturbation metod in theS-matrix formalism is examined in view of new assumptions concerning the finite life time of the virtual states.
Riassunto
Si propone una nuova teoria non locale dei campi. In prima approssimazione si introducono fattori di convergenza compatibili coll’uso del metodo Hamiltoniano e col principio della causalità macroscopica. Si studiano anche le condizioni di convergenza del metodo perturbativo del calcolo della matriceS e si introducono nuove ipotesi sulle vite medie degli stati virtuali.
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see also a theorem ofV. I. Grigor’ev:Žu. Ėksper. Teor. Fiz.,30, 873 (1955).
I thank Dr.T. Regge for indicating to me this relation.
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The main results obtained in this work were subject of a communication presented at the International Conference on Fundamental Constants on September 6-th, 1956 in Turin.
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Wataghin, G. On a non-local relativistic quantum theory of fields (*) — I. Nuovo Cim 5, 689–701 (1957). https://doi.org/10.1007/BF02835593
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DOI: https://doi.org/10.1007/BF02835593