Il Nuovo Cimento A (1965-1970)

, Volume 45, Issue 1, pp 205–218 | Cite as

Spin and statistics ins-matrix theory

  • E. Y. C. Lu
  • D. I. Olive
Article
First Online:
Received:
Revised:

Summary

Starting from theS-matrix theory postulates of analyticity unitarity, connectedness and Lorentz invariance it is found that the connected parts for processes involving particles with the wrong connection between spin and statistics vanish so that such particles are unobservable, provided the resultant singularity structure exhibits certain plausible features discussed in the text.

Keywords

Mast Creation Operator Physical Region Connected Part Unitarity Equation 
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Riassunto

Partendo dai postulati di analiticità, unitarietà connessione ed invarianza di Lorentz della teoria della matriceS, si trova che le parti connesse dei processi che coinvolgono particelle con la connessione sbagliata fra spin e statistica si annullano, cosicchè queste particelle non sono osservabili, purchè la struttura della singolarità risultante presenti alcune plausibili caratteristiche discusse nel testo.

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References

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    W. Heisenberg:Zeits. Phys.,120, 513 (1943);L. Landau:Nucl. Phys.,13, 181 (1959);H. P. Stapp:Phys. Rev.,125, 2139 (1962); and proceedings ofTrieste Conference (1965);J. C. Polkinghorne:Nuovo Cimento,23, 360 (1962);25, 901 (1962);J. Gunson:Journ. Math. Phys.,6, 827, 845, 852 (1965).ADSMathSciNetCrossRefGoogle Scholar
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    We are grateful to Prof.H. P. Stapp for explaining to us that previousS-matrix arguments concerning this connection made rather strong and unsatisfactory assumptions. The result has been long established in field theory. SeeR. F. Streater andA. S. Wightman:P. C. T., Spin and Statistics and All That (New York, 1964).R. Jost:The General Theory of Quantized Fields (American Mathematical Society, R.I. 1965).Google Scholar
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    P. V. Landshoff, J. C. Polkinghorne andJ. C. Taylor:Nuovo Cimento,19, 939 (1961). More recent discussions of this and its significance appear inD. I. Olive:Nuovo Cimento,37, 1422 (1965);P. V. Landshoff andD. I. Olive: see ref. (3);Extraction of Singularities from the S-Matrix, Cambridge preprint 1965;P. V. Landshoff, D. I. Olive andJ. C. Polkinghorne:Nuovo Cimento,43 A, 444 (1966).MathSciNetCrossRefGoogle Scholar
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    H. Araki:Journ. Math. Phys.,2, 267 (1961). See alsoR. F. Streater andA. S. Wightman:P.C.T., Spin and Statistics and All that (New York, 1964) p. 152.ADSMathSciNetCrossRefGoogle Scholar
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    N. Burgoyne:Nuovo Cimento,8, 607 (1958). See alsoR. F. Streater andA. S. Wightman:P. C. T., Spin and Statistics and All That (New York, 1964), p. 148.MathSciNetCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • E. Y. C. Lu
    • 1
  • D. I. Olive
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridge

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