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On the formulation of quantized field theories — II

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Il Nuovo Cimento (1955-1965)

Summary

We discuss the concept of causal scattering matrices using retarded multiple commutators of field operators.

Riassunto

Si discute il concetto di matrice causale di scattering ricorrendo a commutatori multipli ritardati di operatori di campo.

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References

  1. W. Heisenberg:Zeits. f. Phys.,120, 513, 673 (1943).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. R. Haag:Dan,. Mat. Fys. Medd.,29, no. 12 (1955).

    Google Scholar 

  3. H. Lehmann, K. Stmanzik, W. Zimmermann:Nuovo Cimento,1, 425 (1955);. in the following quoted as LSZ I.

    Article  Google Scholar 

  4. Polkinghoene Nuovo Cimento,4, 216 (1956) andProe. Cambr. Phil. Soc,53, 260 (1957)) has introduced a general type of product which depends not only on the space-time coordinates of the field operators, but also on additional parameters. For special choice of these parameters Polkinghorne’s product is identical with our R-product, as defined below in eq. (27).

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  5. K. Nishijima (to be published) has suggested a formulation of the asymptotic condition which avoids the operators of incoming and outgoing fields and may be obtained by taking matrix elements of (34″) with respect to Φ x1/in x1, Φ Β1/in. Β1 This modified procedure is useful to include the possibility of bound states in the formalism of r-functions, especially in connection with the completeness of the incoming and outgoing states (compare Appendix). We wish to thank Dr, Nishijima for informing us of his results prior to publication.

  6. M. Cini andS. Fubini:Nuovo Gimento,2, 860 (1955).

    Article  MATH  Google Scholar 

  7. S. Schweber:Nuovo Cimento,2, 397 (1955).

    Article  MathSciNet  MATH  Google Scholar 

  8. M. L. Goldberger:Phys. Rev.,99, 979 (1955);R. Oehme:Nuovo Cimento,4, 1316 (1956);K. Symanzik:Phys. Bev.,105, 743 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. N. N. Bogoljubow: Reportat the Int. Conference on Theor. Physics, Seattle, 1956.

  10. K. Symanzik:Phys. Rev.,105, 743 (1957).

    Article  ADS  MATH  Google Scholar 

  11. K. Stmanzik:Phys. Rev.,105, 743 (1957).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik der Universität, Hamburg

    H. Lehmann & K. Symanzik

  2. Max-Planck-Institut für Physik, Göttingen

    W. Zimmermann

Authors
  1. H. Lehmann
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  2. K. Symanzik
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  3. W. Zimmermann
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Lehmann, H., Symanzik, K. & Zimmermann, W. On the formulation of quantized field theories — II. Nuovo Cim 6, 319–333 (1957). https://doi.org/10.1007/BF02832508

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  • DOI: https://doi.org/10.1007/BF02832508

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