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Local rings and the connection of spin with statistics

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Abstract

The usual investigations of the connection of spin and statistics start with the hypothesis that there exist only fields either commuting or anti-commuting for spacelike separations. Starting from local rings of measurements we want to show that this hypothesis can be added without loss of generality.

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References

  1. Jordan, P., u.E. Wigner: Z. Phys.47, 631 (1928).

    Google Scholar 

  2. Schwinger, J.: Selected papers on quantum electrodynamics. New York: Dover Publications, Inc. 1958.

    Google Scholar 

  3. Pauli, W.: Phys. Rev.58, 716 (1940).

    Google Scholar 

  4. Streater, R. F., andA. S. Wightman: PCT, Spin and Statistics, and All That. New York: W. A. Benjamin Inc. 1964.

    Google Scholar 

  5. Greenberg, O. W., andA. M. L. Messiah: Phys. Rev.136, B248 (1964).

  6. Green, H. S.: Phys. Rev.90, 270 (1953).

    Google Scholar 

  7. Borchers, H. J.: Commun. math. Phys1, 57 (1965).

    Google Scholar 

  8. Naimark, M. A.: Normed Rings. Groningen: P. Nordhoff 1959.

    Google Scholar 

  9. Araki, H.: Progress Theor. Phys32, 844.Borchers, H. J.: Commun. math. Phys.1, 49 (1965).

  10. Wightman, A. S.: Trieste Lectures (1962), Theorem 12.

  11. Dunford, N., andJ. T. Schwartz: Linear Operators, Part I, p. 132. New York: Interscience Publishers 1958.

    Google Scholar 

  12. Jost, R., eH. Lehmann: Nuovo Cimento5, 1598 (1957).

    Google Scholar 

  13. F. J. Dyson: Phys. Rev.110, 1460 (1958).

    Google Scholar 

  14. Araki, H.: J. Math. Phys.2, 267 (1961).

    Google Scholar 

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  1. Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette (S. et O.), France

    H. J. Borchers

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  1. H. J. Borchers
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Borchers, H.J. Local rings and the connection of spin with statistics. Commun.Math. Phys. 1, 281–307 (1965). https://doi.org/10.1007/BF01645905

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  • DOI: https://doi.org/10.1007/BF01645905

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