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A spin-statistics theorem for composites containing both electric and magnetic charges

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Abstract

The present paper states and proves an asymptotic spin-statistics theorem for composites consisting of electrically and magnetically charged particles. We work in the framework of a nonrelativistic theory, taking as the classical configuration space aU(1) bundle over the space of physical configurations, and as the quantum hilbert space the homogeneous square integrable functions on that bundle. The theorems are proved using a formalism we develop here for treating “gauge spaces” —U(1) bundles with connections; in particular, two products related to tensor products of vector bundles prove to be extremely useful in displaying the structure of the gauge spaces that naturally arise in this theory.

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References

  1. Friedman, J.L., Sorkin, R.D.: Phys. Rev. D20, 2511 (1979)

    Google Scholar 

  2. Barut, A.O.: Phys. Rev. D10, 2712 (1974)

    Google Scholar 

  3. Goldhaber, A.S.: Phys. Rev. Lett.36, 1122 (1976)

    Google Scholar 

  4. Souriau, J.-M.: Structure des systèmes dynamiques. Paris: Dunod 1970

    Google Scholar 

  5. Kostant, B.: Lecture Notes in Mathematics170. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  6. Trautman, A.: Intern. J. Theor. Phys.16, 561 (1977)

    Google Scholar 

  7. Lubkin, E.: Ann. Phys.23, 233 (1963)

    Google Scholar 

  8. Wu, T.T., Yang, C.N.: Phys. Rev. D12, 3845 (1975)

    Google Scholar 

  9. Tolkachev, E.A., Tomil'chik: Phys. Lett.81B, 173 (1979)

    Google Scholar 

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Authors and Affiliations

  1. Physics Department, University of Wisconsin, Milwaukee, Wisconsin

    John L. Friedman

  2. Enrico Fermi Institute, University of Chicago, Chicago, Illinois, USA

    Rafael D. Sorkin

Authors
  1. John L. Friedman
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  2. Rafael D. Sorkin
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Additional information

Communicated by R. Geroch

Supported in part by the National Science Foundation under grant number PHY 77-07111

Supported in part by the National Science Foundation under grant number PHY 78-24275

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Friedman, J.L., Sorkin, R.D. A spin-statistics theorem for composites containing both electric and magnetic charges. Commun.Math. Phys. 73, 161–196 (1980). https://doi.org/10.1007/BF01198122

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  • DOI: https://doi.org/10.1007/BF01198122

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