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On the Prasad-Sommerfield dyon (monopole) solution

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Abstract

We prove that the Prasad-Sommerfield dyon (monopole) solution for an SU(2) Yang-Mills field coupled with an SU(2) Higgs multiplet can be associated to a certain minimal immersion in S 3 (≃SU(2)) i.e. it has a differential-geometric content similar to that of self-dual solutions for the pure SU(2) Yang-Mills field. Implications of this result as well as possibilities to extend it to higher gauge groups are discussed.

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References

  1. PrasadM.K., and SommerfieldC., Phys. Rev. Letters 35, 760 (1975).

    Google Scholar 

  2. t'Hooft, G., B79, 276 (1974).

  3. PolyakovA.M., JETP Letters 20, 194 (1974).

    Google Scholar 

  4. HuliaB., and ZeeA., Phys. Rev. D11, 2227 (1975).

    Google Scholar 

  5. Nambu, Y., Paper presented at the Schwinger Symposium UCLA (Febr. 1978) and EFI-78/13 (1978).

  6. BelavinA.A., PolyakovA.M., SchwartzA.S., and TyupkinYu.S., Phys. Letters 59B, 85 (1975).

    Google Scholar 

  7. DeAlfaroV., FubiniS., and FurlanG., Phys. Letters 65B, 162 (1975).

    Google Scholar 

  8. Tataru-Mihai, P., ‘On the two-dimensional O(3) σ-nonlinear model’ and ‘Classical solutions for the four-dimensional σ-model’, MPI-Starnberg preprints, and to be published.

  9. WuT.T., and YangC.N., in H.Mark and S.Fernbach (Eds.), Properties of Matter Under Unusual Conditions, Interscience, New York, 1969, pp. 349–354.

    Google Scholar 

  10. See, e.g., HelgasonS., Differential Geometry and Symmetric Spaces, Academic Press, New York and London, 1962.

    Google Scholar 

  11. Leznov, A.N., and Saveliev, M.V., CERN-TH 2454 (1978).

  12. WuH. Michigan, Math. J. 16, 141 (1969). Holzsager, R.A., and Wu, H., Michigan Math. J. 17, 297 (1970).

    Google Scholar 

  13. MilnorJ., ‘Morse Theory’, Annals of Math. Studies 51, Princeton Univ. Press, Princeton, 1963.

    Google Scholar 

  14. GlimmJ., and JaffeA., Nucl. Phys. B149, 49 (1979).

    Google Scholar 

  15. BogomolnyE.B., Sov. J. Nucl. Phys. 24, 861 (1976).

    Google Scholar 

Download references

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  1. Max Planck Institute, D-813, Starnberg, West Germany

    P. Tataru-Mihai

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  1. P. Tataru-Mihai
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Tataru-Mihai, P. On the Prasad-Sommerfield dyon (monopole) solution. Lett Math Phys 3, 437–444 (1979). https://doi.org/10.1007/BF00397220

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  • DOI: https://doi.org/10.1007/BF00397220

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