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Il Nuovo Cimento (1955-1965)

, Volume 6, Issue 5, pp 1122–1128 | Cite as

Field operators and retarded functions

  • V. Glaser
  • H. Lehmann
  • W. Zimmermann
Article

Summary

A formula for the expansion of field operators with respect to products of ingoing fields is derived. The coefficients in this expansion are the retarded functions introduced earlier. They fulfil a system of equations which turns out to be not only a necessary but also sufficient condition for such functions to yield a local field operator.

Riassunto

Si deriva una formula per lo sviluppo degli operatori di campo rispetto ai prodotti dei campi entranti. I coefficienti di tale sviluppo sono le funzioni ritardate precedentemente introdotte. Essi soddisfano un’equazione che risulta essere una condizione non solo necessaria ma sufftciente affinchè dette funzioni forniscano un operatore di campo locale.

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References

  1. (1).
    H. Lehmann, K. Symanzik andW. Zimmermann:Nuovo Cimento (in press).Google Scholar
  2. (2).
    K. Nishijima: to be published.Google Scholar
  3. (3).
    R. Haag:Dan. Mat. Fys. Medd.,29, 13 (1955).MathSciNetGoogle Scholar
  4. (6).
    A. S. Wightman:Phys. Rev.,101, 860 (1956).MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1957

Authors and Affiliations

  • V. Glaser
    • 1
  • H. Lehmann
    • 2
  • W. Zimmermann
    • 3
  1. 1.Institute « Budjer Boskovie »Zagreb
  2. 2.Institut für theoretische PhysikUniversitÄt HamburgGermany
  3. 3.Max Planck-Institut für PhysikGöttingen

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