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When does a Quantum Field Theory describe particles?

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Abstract

We give a criterion which has to be satisfied in a Quantum Field Theory in order to allow a complete particle interpretation of the theory. The notion of “essentially localized states” in Field Theory is re-examined.

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References

  1. Greenberg, O. W.: Annals of Phys.10, 158 (1961).

    Google Scholar 

  2. Haag, R., andB. Schroer: J. Math. Phys.3, 248 (1962).

    Google Scholar 

  3. Borchers, H. J.: Three Remarks on Quantum Field Theory, N.Y.U. progress report 1963.

  4. Araki, H.: Lecture notes. Zürich 1963.

  5. Reeh, H., andS. Schlieder: Nuovo Cimento22, 1051 (1961).

    Google Scholar 

  6. Knight, J. M.: J. Math. Phys.2, 459 (1961).

    Google Scholar 

  7. Ruelle, D.: Helv. Phys. Acta35, 147 (1962).

    Google Scholar 

  8. Schlieder, S.: Commun. Math. Phys.1, 265 (1965).

    Google Scholar 

  9. Kolmogoroff, A. N.: Doklady Akad. Nauk SSSR120, 239 (1958).

    Google Scholar 

  10. Gelfand, I. M., andN. J. Wilenkin: Verallgemeinerte Funktionen. Vol. IV, p. 96. Berlin: Deutscher Verlag der Wissenschaften 1964.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Illinois, Urbana, Illinois

    R. Haag & J. A. Swieca

Authors
  1. R. Haag
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  2. J. A. Swieca
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Additional information

Supported in part by the National Science Foundation.

On leave of absence from University of São Paulo, Brazil.

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Haag, R., Swieca, J.A. When does a Quantum Field Theory describe particles?. Commun.Math. Phys. 1, 308–320 (1965). https://doi.org/10.1007/BF01645906

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  • DOI: https://doi.org/10.1007/BF01645906

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