Skip to main content
SpringerLink
Log in

Magnetic Monopoles and the Orientation Entanglement Relation

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We show that Dirac magnetic monopoles do not satisfy the orientationentanglement (OE) relation and do not return to their initial state after a 4πrotation. This is done in both the formalism using Dirac strings of singularitiesand in the fiber bundle formalism. In the latter we connect the OE relation tothe first homotopy group of the gauge group. We hypothesize that failure tosatisfy the OE relation is the reason Dirac magnetic monopoles have neverbeen seen.

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. E. McDonald, In ref. 2, p. 1149.

  2. C.W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).

    Google Scholar 

  3. P. A. M. Dirac (1948). Phys. Rev. 74, 817; (1931), Proc. R. Soc. Lond. A 133, 60.

    Google Scholar 

  4. B. Cabrera (1982). Phys. Rev. Lett. 48, 1378.

    Google Scholar 

  5. J. Preskill (1984). Annu. Rev. Nucl. Part. Sci. 34, 461.

    Google Scholar 

  6. G. Giacomelli (1984). Nuovo Cimento 7, 1.

    Google Scholar 

  7. Phys. Rep. 140, 323 (1986).

  8. A. D. Caplin et al. (986). Nature 321, 402.

  9. L3 Collaboration, M. Acciarri, et al. (1995). Phys. Lett. B 345, 609.

    Google Scholar 

  10. PDG Review of Particle Physics (1996). Phys. Rev. D 54, 166, 685.

    Google Scholar 

  11. DO Collaboration, B. Abbott, et al. (1998). Phys. Rev. Lett. 81, 524.

    Google Scholar 

  12. I. Tamm (1931). Z. Physik 71, 141.

    Google Scholar 

  13. M. Fierz (1944). Helv. Phys. Acta 17, 27.

    Google Scholar 

  14. P. P. Banderet (1946). Helv. Phys. Acta 19.

  15. N. Cabibbo and E. Ferrari (1962). Nuovo Cimento 23, 1147.

    Google Scholar 

  16. D. Zwanziger (1965). Phys. Rev. B 137, 647.

    Google Scholar 

  17. S. Weinberg (1965). Phys. Rev. B 138, 988.

    Google Scholar 

  18. A. S. Goldhaber (1965). Phys. Rev. B 140, 1407.

    Google Scholar 

  19. J. Schwinger (1966). Phys. Rev. B 144, 1087.

    Google Scholar 

  20. G. Wentzel (1966). Prog. Theor. Phys. (Kyoto) Suppl. 37, 163.

    Google Scholar 

  21. T. T. Wu and C. N. Yang (1975). Phys. Rev. D 12, 3845.

    Google Scholar 

  22. 't Hooft (1974). Nucl. Phys. B 79, 276.

    Google Scholar 

  23. A. M. Polyakov (1974). Zh. Eksp. Teor. Fiz. 20, 430 [JETP Lett. 20, 194 (1974)].

    Google Scholar 

  24. N. Steenrod, The Topology of Fibre Bundles (Princeton University Press, Princeton, New Jersey, 1951).

    Google Scholar 

  25. D. Husemoller, Fiber Bundles (Springer-Verlag, New York, 1966).

    Google Scholar 

  26. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1969).

    Google Scholar 

  27. Y. Choquet-Bruhat, C. DeWitt-Morette, and M. Dillard-Bleick, Analysis, Manifolds, and Physics (North-Holland, Amsterdam, 1976).

    Google Scholar 

  28. M. E. Mayer, Fiber Bundle Techniques in Gauge Theories (Springer-Verlag, New York, 1977).

    Google Scholar 

  29. M. Daniel and C. M. Viallet (1980). Rev. Mod. Phys. 52, 175.

    Google Scholar 

  30. C. Nash and S. Sen, Topology and Geometry for Physicists (Academic Press, New York, 1983).

    Google Scholar 

  31. Z. F. Ezawa and H. C. Tze (1976). J. Math, Phys. 17, 2228.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Iowa State University, Ames, Iowa, 50011

    D. K. Ross

Authors
  1. D. K. Ross
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ross, D.K. Magnetic Monopoles and the Orientation Entanglement Relation. International Journal of Theoretical Physics 39, 2207–2213 (2000). https://doi.org/10.1023/A:1003755813219

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1003755813219

Keywords

Search

Navigation