Il Nuovo Cimento A (1965-1970)

, Volume 45, Issue 1, pp 108–123 | Cite as

Sum rules from the algebra of current densities

  • C. Bouchiat
  • Ph. Meyer


A general method to derive sum rules involving mass-shell amplitudes from the algebra of space and time components of the current densities is developed. It is shown that the so-called «Schwinger terms» can be eliminated in the «quark» model by a proper symmetrization. The case of vector currents is discussed for the spin-1/2 baryons and in particular the sum rules associated with the equal-time commutation relations of the magnetic moments.


Multipole Moment Pole Term Sachs Form Factor Amplit Baryon Pole 
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Si sviluppa un metodo generale per dedurre regole di somma per le ampiezze dello strato della massa nell'algebra delle componenti spaziali e temporali delle densità di corrente. Si dimostra che i cosiddetti «termini di Schwinger» possono essere eliminati nel modello dei «quark» con una opportuna simmetrizzazione. Si discute il caso delle correnti vettoriali per i barioni di spin 1/2 ed in particolare le regole di somma associate con relazioni di commutazione di tempo uguale dei momenti magnetici.


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Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • C. Bouchiat
    • 1
  • Ph. Meyer
    • 1
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesFaculté des SciencesOrsay

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