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Properties of the momentum space analytic function

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Il Nuovo Cimento (1955-1965)

Summary

Using only the fundamental assumptions of Lorentz covariance, locality, and mass spectrum we derive certain results concerning the analytic function in momentum space. The boundary values of this function are closely related to the scattering amplitudes.

Riassunto

Facendo uso solamente delle ipotesi fondamentali della covarianza di Lorentz, località, e spettro di massa deriviamo alcuni risultati concernenti la funzione analitica nello spazio degli impulsi. I valori ai limiti di questa funzione sono strettamente connessi alle ampiezze di scattering.

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References

  1. H. Lehmann, K. Symanzik andW. Zimmermann:Nuovo Cimento,6, 319 (1957);V. Glaser, H. Lehmann andW. Zimmermann:Nuovo Cimento,6, 1122 (1957); see alsoG. Källén:Dan. Mat. Fys. Medd.,27, no. 12 (1953). Our notation and that of the first named authors are related as follows:r j(x 1, ...,x n)=(i)n−1 r(x j;x 1, ...,x n). Formula (1) is equivalent to the definition in terms of multiple commutators.

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  4. O. Steinmann:Thesis, Zurich, 1959 (unpublished);Helv. Phys. Acta (to appear).

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Author notes

  1. H. Araki

    Present address: Department of Nuclear Engineering, Kyoto University, Kyoto, Japan

Authors and Affiliations

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

    H. Araki

  2. Department of Mathematics, Princeton University, Princeton, N.J.

    N. Burgoyne

Authors
  1. H. Araki
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  2. N. Burgoyne
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Araki, H., Burgoyne, N. Properties of the momentum space analytic function. Nuovo Cim 18, 342–346 (1960). https://doi.org/10.1007/BF02725943

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  • DOI: https://doi.org/10.1007/BF02725943

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