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Il Nuovo Cimento A (1971-1996)

, Volume 53, Issue 3, pp 577–591 | Cite as

Vector and spinor current algebra and theN/D method

  • I. T. Drummond
Article

Summary

AnN/D model of weak amplitudes analogous to the ladder approximation of Bronzan, Gerstein, Lee and Low (1) is discussed. It is applied to the case of vector-vector current commutators and spinor-spinor anticommutators. The model does not of course yield the detailed assumptions of current algebra but is consistent with them. It shows how these assumptions are compatible with the analyticity properties usually assumed for invariant amplitudes. By means of the model it is possible to indicate the problems involved if a bootstrap calculation is to yield the results of current algebra.

Векторная и спинорная алгебра токов иN/D метод

Резюме

ОбсуждаетсяN/D модель для слабых амплитуд, аналогичная лестничному приближению Бронзана, Герстейна, Ли и Лоу. Модель применяется к случаю коммутаторов вектор-векторных тков и спинор-спинорных антикоммутаторов. Конечно, это модель не дает детальных предположений алгебры токов, но находится в соответствеии с ними. Показывается, как зти предположения совместимы со свойствами аналитичности, обычно предполагаемыми для инвартных амплитуд. С помощяю этой модели возможно указать встречающиеся проблемы, если бутстрэп-вычисления должны давать результаты алгебры токов.

Riassunto

Si discute un modelloN/D di ampiezze deboli analogo all’approssimazione a scalini di Bronzan, Gerstein, Lee e Low. Questo modello si applica al caso di commutatori di corrente vettore-vettore e agli anticommutatori spinore-spinore. Il modello non dà naturalmente le ipotesi dettagliate dell’algebra delle correnti, ma è consistente con esse. Si mostra come queste ipotesi siano compatibili con le proprietà di analiticità comunemente ammesse per ampiezze invarianti. Tramite il modello è possibile indicare i problemi coinvolti se un calcolo a «bootstrap» deve dare i risultati dell’algebra delle correnti.

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References

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Copyright information

© Società Italiana di Fisica 1968

Authors and Affiliations

  • I. T. Drummond
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridge

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