Skip to main content
SpringerLink
Log in

Exact magnetic monopole solutions in Yang-Mills and unified gauge theories

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We study the magnetic monopoles in non-Abelian gauge theories. The exact static, spherically symmetric solutions of the magnetic monopoles in both Yang-Mills and unified gauge theories are obtained. The energyE of the static system is calculable and it is either zero or infinite. The existence of the magnetic monopole solution is a consequence of symmetry rather than dynamics. We propose a new definition of the electromagnetic field tensor, which relates the static solution of gauge fields and the magnetic monopole solution. Experimental implications are discussed.

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. J. P. Hsu,Phys. Rev. Lett. 36, 646 (1976);Lett. Nuovo Cim. 14, 189 (1975); J. P. Hsu and E. Mac,J. Math. Phys. 18, 100 (1977); see also J. P. Hsu,Phys. Rev. Lett. 36, 1515 (1976).

    Google Scholar 

  2. G. 't Hoott,Nucl. Phys. B79, 276 (1974).

    Google Scholar 

  3. P. A. M. Dirac,Proc. Roy. Soc. (Lond.) A 133, 60 (1934);Phys. Rev. 74, 817 (1948); T. T. Wu and C. N. Yang,Phys. Rev. D 12, 3845 (1975);13, 3233 (1976).

    Google Scholar 

  4. J. P. Hsu,Lett. Nuovo Cim. 11, 525 (1974);12, 503 (1975).

    Google Scholar 

  5. J. P. Hsu and J. A. Underwood,Phys. Rev. 12, 620 (1975);Phys. Rev., to be published.

    Google Scholar 

  6. Von H. Lemke,Sitzungsber. Berl. Math. Ges. 26–31.

  7. T. T. Wu and C. N. Yang, inProperties of Matter under Unusual Conditions (in honor of E. Teller's 60th birthday), H. Mark and S. Fernbac, eds. (Interscience, New York, 1969), pp. 349–354; M. Ikeda and Y. Miyachi,Prog. Theor. Phys. 27, 474 (1962); H. G. Loos,Nucl. Phys. 72, 677 (1965).

    Google Scholar 

  8. G. Rosen,J. Math. Phys. 13, 595 (1972).

    Google Scholar 

  9. A. C. T. Wu and T. T. Wu,J. Math. Phys. 15, 53 (1974); Zenaida E. S. UY,Nucl. Phys. B 110, 389 (1976).

    Google Scholar 

  10. J. Schwinger,Phys. Rev. 144, 1087 (1966).

    Google Scholar 

  11. J. P. Hsu,Phys. Rev. Lett. 36, 646 (1976).

    Google Scholar 

  12. M. K. Prasad and C. M. Sommerfield,Phys. Rev. Lett. 35, 760 (1975).

    Google Scholar 

  13. C. N. Yang and R. L. Mills,Phys. Rev. 96, 191 (1954); T. T. Wu and C. N. Yang,Phys. Rev. D 12, 3845 (1975).

    Google Scholar 

  14. C. N. Yang,Phys. Rev. D 1, 2360 (1970).

    Google Scholar 

  15. J. Schwinger, Lectures at the University of Texas at Austin, April 1975;Science 188, 1300 (1975).

    Google Scholar 

  16. J. P. Hsu,Phys. Rev. D 5, 981 (1972); J. P. Hsu and M. Hongoh,Phys. Rev. D 6, 256 (1972).

    Google Scholar 

  17. J. Arafune, P. G. O. Freund, and C. J. Goebel,J. Math. Phys. 16, 433 (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Particle Theory, The University of Texas at Austin, Austin, Texas

    J. P. Hsu

Authors
  1. J. P. Hsu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported in part by the U.S. ERDA.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hsu, J.P. Exact magnetic monopole solutions in Yang-Mills and unified gauge theories. Found Phys 7, 801–812 (1977). https://doi.org/10.1007/BF00708506

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00708506

Keywords

Search

Navigation