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On the self-adjointness of field operators

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Il Nuovo Cimento (1955-1965)

Summary

A new postulate of quantum field theory is formulated which implies: 1) the smeared out field operators are (essentially) selfadjoint; 2) the associated spectral projection operators commute for spacelike distances. These results allow to construct local rings of field operators in the sense of Haag and Araki.

Riassunto

Si formula un nuovo postulato della teoria quantistica dei campi che implica che: 1) gli operatori di campo distesi sono (essenzialmente) autoaggiunti; 2) gli operatori di proiezione spettrali associati commutano per distanze spaziali. Questi risultati permettono di costruire anelli locali di operatori di campo nel senso di Haag ed Araki.

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References

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, N. Y.

    H. J. Borchers & W. Zimmermann

Authors
  1. H. J. Borchers
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  2. W. Zimmermann
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Additional information

This paper is supported by the Sloan Foundation’s grant for mathematical physics.

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Borchers, H.J., Zimmermann, W. On the self-adjointness of field operators. Nuovo Cim 31, 1047–1059 (1964). https://doi.org/10.1007/BF02821677

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  • DOI: https://doi.org/10.1007/BF02821677

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