S-Matrix Singularity Structure

  • J. C. Polkinghorne
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 4/1967)


In these lectures I want to survey some of the basic ideas and results in the effort to determine the singularity structure of the S-matrix.


Physical Region Landau Equation Loop Momentum Unnatural Continuation Feynman Integral 


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  1. An account of the properties of Feynman integrals and the foundations of S-matrix theory can be found in “The Analytic S-Matrix” by R. J. Eden, P. V. Lands-hoff, D. I. Olive and J. C. Polkinghorne (Cambridge University Press 1966), which gives full references to the original literature. Further developments on the singularity structure of the S-matrix are to be found in the following papers:Google Scholar
  2. 1.
    P. V. Landshoff and D. I. Olive, J. Math. Phys. 7, 1464 (1966).ADSCrossRefGoogle Scholar
  3. 2.
    P. J. V. Landshoff and D. Math. Phys. 7, 1593 I. Olive, J. C. Polkinghorne, (1966).Google Scholar
  4. 3.
    P. J. V. Landshoff, D. I. Math. Phys. 7, 1600 Olive, J. C. Polkinghorne, (1966).Google Scholar
  5. 4.
    M. J. W. Bloxham, Nuovo Cim. 44A, 794 (1966).Google Scholar
  6. 5.
    P. V. Landshoff, J. Math. Phys., to be published.Google Scholar
  7. 6.
    J. K. Storrow, Nuovo Cim. to be published.Google Scholar
  8. 7.
    M. J. W. Bloxham, D. Olive, J. C. Polkinghorne, in preparation. This last is a sequence of four papers determining the complete S-matrix physical region singularity structure.Google Scholar

Copyright information

© Springer-Verlag Wien 1967

Authors and Affiliations

  • J. C. Polkinghorne
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeEngland

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