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Non perturbation treatment of scattering in quantum field theory

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Il Nuovo Cimento (1943-1954)

Summary

A sequence of approximations to theS andK operators is obtained by means of a variational method. The form of the approximations is such that discussions on general questions like convergence and renormalization become possible without any weak coupling assumption. The method is particularly suited for the study of two body collision problems: in this case the difficulties in the treatment of the higher order approximations are reduced to the problem of evaluating the perturbationS-matrix elements.

Riassunto

Si ottiene per mezzo di un principio variazionale una successione di approssimazioni non perturbative per gli operatoriK edS. La forma delle approssimazioni successive è tale che sono possibili discussioni generali sulla convergenza e sulla rinormalizzazione del metodo senza far ricorso ad alcuna ipotesi sulla grandezza della costante di accoppiamento. Il metodo è particolarmente adatto allo studio dei problemi di collisione fra due corpi: in questo caso le difficoltà per la valutazione delle approssimazioni di ordine più elevato si riducono al calcolo di elementi di matriceS perturbativi

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Authors and Affiliations

  1. Istituto di Fisica dell' Università, Torino

    M. Cini & S. Fubini

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Torino, Italia

    M. Cini & S. Fubini

Authors
  1. M. Cini
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  2. S. Fubini
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Cini, M., Fubini, S. Non perturbation treatment of scattering in quantum field theory. Nuovo Cim 11, 142–152 (1954). https://doi.org/10.1007/BF02782911

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  • DOI: https://doi.org/10.1007/BF02782911

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