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Signature properties in the perturbation-theory model of complex angular momentum theory

Свойства сигнатуры в модели теории возмущений для теории комплексного момента

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Il Nuovo Cimento A (1965-1970)

Summary

It is shown how to introduce signature into the model of complex angular momentum theory provided by Feynman integrals with spinless particles. The signature, and some other properties of Mandelstam cuts are elucidated.

Riassunto

Si mostra come introdurre la segnatura nel modello di teoria del momento angolare complesso data dagli integrali di Feynman con particelle senza spin. Si chiariscono la segnatura ed alcune altre proprietà dei tagli di Mandelstam.

Резюме

Показывается, как ввести сигνатуру в теорию комплексного момента посредством фейнмановских интегралов с бесспиновыми частицами. Об’ясняются сигнатура и некоторые другие свойства разрезов Мандельстама.

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References

  1. For a detailed discussion of this model and the calculational techniques employed, see Chapter 3 ofThe Analytic S-Matrix,R. J. Eden, P. V. Landshoff, D. I. Olive andJ. C. Polkinghorne (Cambridge, 1966).

  2. B. Hamprecht:Nuovo Cimento,42 A, 493 (1966).

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  3. The case of particles with spin will be discussed byD. Branson: Cambridge preprint (in preparation).

  4. The argument here follows a related calculation given in detail in ref. (2).

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  5. V. N. Gribov andI. Ya. Pomeranchuk:Phys. Lett.,2, 239 (1962).

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  6. Cf. Sect. 3.7 of ref. (1) For a detailed discussion of this model and the calculational techniques employed, see Chapter 3 of theAnalytic S-Matrix,R. J. Eden, P. V. Landshoff, D. I. Olive andJ. C. Polkinghorne (Cambridge, 1966).

  7. D. I. Olive andJ. C. Polkinghorne: Cambridge preprint, DAMTP 68/6, to be published inPhys. Rev..

  8. V. N. Gribov: to be published.

  9. P. Osborne andJ. C. Polkinghorne:Nuovo Cimento,47 A, 526 (1966).

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  10. Privately transmitted by Dr.I. T. Drummond, whom I thank for discussions on this point.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge

    J. C. Polkinghorne

Authors
  1. J. C. Polkinghorne
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Traduzione a cura della Redazione.

Перевебено ребакцией.

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Polkinghorne, J.C. Signature properties in the perturbation-theory model of complex angular momentum theory. Nuovo Cimento A (1965-1970) 56, 755–763 (1968). https://doi.org/10.1007/BF02819832

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  • DOI: https://doi.org/10.1007/BF02819832

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