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The analytic properties of perturbation theory — II

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Il Nuovo Cimento (1955-1965)

Summary

The definition of the physical sheet of a perturbation theory function is discussed. The types of singularity near a given surface of singularity are investigated and an expression obtained for the leading singularity. The application of these ideas to the Mandelstam representation and to further problems is indicated.

Riassunto

Si discute la definizione della falda fisica di una funzione in teoria della perturbazione. Si analizzano i tipi di singolarità prossimi ad una data superficie di singolarità ed una espressione ottenuta per la singolarità principale. Si indica l’applicabilità di questi concetti alla rappresentazione di Mandelstam ed a problemi ulteriori.

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References

  1. J. C. Polkinghorne andG. R. Screaton:Nuovo Cimento,15, 289 (1960). Referred to as I.

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  2. S. Mandelstam:Phys. Rev.,112, 1344 (1958).

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Authors and Affiliations

  1. Trinity College, Cambridge

    J. C. Polkinghorne

  2. Tait Institute of Mathematical Physics, University of Edinburgh, UK

    G. R. Screaton

Authors
  1. J. C. Polkinghorne
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  2. G. R. Screaton
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Additional information

Supported in part by United States Air Force, Research and Development Command, Europe.

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Polkinghorne, J.C., Screaton, G.R. The analytic properties of perturbation theory — II. Nuovo Cim 15, 925–931 (1960). https://doi.org/10.1007/BF02860197

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  • DOI: https://doi.org/10.1007/BF02860197

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