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A proof of the mandelstam representation in perturbation theory

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Il Nuovo Cimento (1955-1965)

Summary

The Mandelstam representation is proved in each finite order in perturbation theory for processes for which forward scattering dispersion relations have been proved. A continuation in the external masses is then made so that the proof is extended to all processes for which there is no anomalous threshold in lowest order.

Riassunto

Si dimostra la validità della rappresentazione di Mandelstam in ogni ordine finito nella teoria di perturbazione per processi pei quali sono state dimostrate relazioni di dispersione per lo scattering in avanti. Si fa poi una estensione alle masse esterne cosicchè la dimostrazione diviene valida per tutti i processi in cui non si hanno soglie anomale nell’ordine più basso.

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References

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Author information

Author notes

  1. J. C. Taylor

    Present address: Peterhouse, Cambridge

Authors and Affiliations

  1. St. John’s College, Cambridge

    P. V. Landshoff

  2. Trinity College, Cambridge

    J. C. Polkinghorne

  3. Imperial College, London

    J. C. Taylor

Authors
  1. P. V. Landshoff
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  2. J. C. Polkinghorne
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  3. J. C. Taylor
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Additional information

An outline of this work was given as an invited paper at the Tenth International Conference on High Energy Physics, Rochester, 1960.

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Landshoff, P.V., Polkinghorne, J.C. & Taylor, J.C. A proof of the mandelstam representation in perturbation theory. Nuovo Cim 19, 939–952 (1961). https://doi.org/10.1007/BF02731236

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  • DOI: https://doi.org/10.1007/BF02731236

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