Skip to main content
SpringerLink
Log in

Statistics of Yang-Mills solitons

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We determine the statistics and the spin of isolated Yang-Mills monopoles in eigenstates of their electric and magnetic charge. Exchange of solitons is defined using the translation operator of a companion paper; and under exchange, state vectors representingN identical solitons change sign precisely when the angular momentum of each soliton is half-integral.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Saha, M.N.: Ind. J. Phys.10, 145 (1936). See also, for example, Barut, A.O.: Proton form factor magnetic charges, and dyonium. Phys. Rev. D3, 1747 (1971)

    Google Scholar 

  2. 't Hooft, G.: Magnetic monopoles in unified gauge theories. Nuc. Phys. B79, 276 (1974); Polyakov, A.M.: Particle spectrum in quantum field theory. ZhETF Pis. Red.20, 430 (1974) (JETP Lett.20, 194 (1974))

    Google Scholar 

  3. Jackiw, R., Rebbi, C.: Spin from isospin in a gauge theory. Phys. Rev. Lett.36, 1116 (1976); Hasenfratz, P., 't Hooft, G.: Fermion-boson puzzle in a gauge theory. Phys. Rev. Lett.36, 1119 (1976). See also Strominger, A., Lykken, J.D.: Spin from isospin in SU(5). Phys. Rev. Lett.44, 1175

    Google Scholar 

  4. Barut, A.O.: Spin-statistics connection for dyonium. Phys. Rev. D10, 2709 (1974); Goldhaber, A.S.: Connection of spin and statistics for charge-monopole composites. Phys. Rev. Lett.36, 1122 (1976); Leinaas, J.M., Myrheim, J.: On the theory of identical particles. Nuovo Cimento37B, 1 (1977); Tolkachev, E.A., Tomil'chik, L.M.: Space-reflection operator and the boson-fermion puzzle in a dyonium model. Phys. Lett81B, 173 (1979); Friedman, J.L., Sorkin, R.D.: Dyon spin and statistics: A fiber-bundle theory of interacting magnetic and electric charges. Phys. Rev. D20, 2511 (1979); Aratyn, H.: Z. Phys. C12, 361 (1982)

    Google Scholar 

  5. Friedman, J.L., Sorkin, R.D.: A spin-statistics theorem for composites containing both electric and magnetic charges. Commun. Math. Phys.73, 161 (1980)

    Google Scholar 

  6. Ezawa, Z.F.: Quantum soliton operators for monopoles and fermionization mechanism of dyons. Phys. Lett.81B, 325 (1979)

    Google Scholar 

  7. Finkelstein, D., Rubinstein, J.: Connection between spin, statistics, and kinks. J. Math. Phys.9, 1762 (1968)

    Google Scholar 

  8. Ringwood, G.A., Woodward, L.M.: Monopoles admit spin. Phys. Rev. Lett.47, 625 (1981)

    Google Scholar 

  9. Weinberg, E.J.: Parameter counting for multimonopole solutions. Phys. Rev. D20, 936 (1979)

    Google Scholar 

  10. Souriau, J.-M.: Structure des systemes dynamiques. Paris: Dunod 1970

    Google Scholar 

  11. Sorkin, R.D.: Particle statistics in 3 dimensions. Phys. Rev. D27, 1787 (1983)

    Google Scholar 

  12. Witten, E.: Dyons of charge eθ/2π. Phys. Lett.86B, 283 (1979)

    Google Scholar 

  13. Mandelstam, S.: Quantum electrodynamics without potentials. Ann. Phys.19, 1 (1962)

    Google Scholar 

  14. Brandt, R.A., Filippo, N., Zwanziger, D.: Lorentz invariance from classical particle paths in quantum field theory of electric and magnetic charge. Phys. Rev. D19, 1153 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, University of Wisconsin-Milwaukee, 53201, Milwaukee, WI, USA

    John L. Friedman

  2. Institute for Advanced Study, 08540, Princeton, NJ

    Rafael D. Sorkin

  3. Center for Theoretical Physics, University of Maryland, 20742, College Park, MD, USA

    Rafael D. Sorkin

Authors
  1. John L. Friedman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rafael D. Sorkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by S.-T. Yau

Supported in part by the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedman, J.L., Sorkin, R.D. Statistics of Yang-Mills solitons. Commun.Math. Phys. 89, 501–521 (1983). https://doi.org/10.1007/BF01214741

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214741

Keywords

Search

Navigation