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Ansätze for self-dual Yang-Mills fields

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Abstract

A sequenceA 1,A 2, ... of ansätze for generating self-dual solutions of the Yang-Mills equations is presented. For eachn,A n produces a solution depending on two arbitrary functions of three variables. As an application, we see thatA 2 generates a static Yang-Mills-Higgs 2-monopole solution.

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References

  1. Belavin, A.A., Polyakov, A.M., Schwarz, A.S., Tyupkin, Yu.S.: Phys. Lett. B59, 85–87 (1975)

    Google Scholar 

  2. Jackiw, R., Nohl, C., Rebbi, C.: Phys. Rev. D15, 1642–1646 (1977)

    Google Scholar 

  3. Atiyah, M.F., Hitchin, N.J., Drinfeld, V.G., Manin, Yu.I.: Phys. Lett. A65, 185–187 (1978)

    Google Scholar 

  4. 't Hooft, G.: Nucl. Phys. B79, 276–284 (1974)

    Google Scholar 

  5. Prasad, M.K., Sommerfield, C.M.: Phys. Rev. Lett.35, 760–762 (1975)

    Google Scholar 

  6. Jaffe, A., Taubes, C.: Vortices and monopoles. Boston: Birkhäuser, 1980

    Google Scholar 

  7. Ward, R.S.: Commun. Math. Phys.79, 317–325 (1981)

    Google Scholar 

  8. Prasad, M.K.: Commun. Math. Phys.80, 137–149 (1981)

    Google Scholar 

  9. Ward, R.S.: Phys. Lett. A61, 81–82 (1977)

    Google Scholar 

  10. Atiyah, M.F., Ward, R.S.: Commun. Math. Phys.55, 117–124 (1977)

    Google Scholar 

  11. Corrigan, E.F., Fairlie, D.B., Yates, R.G., Goddard, P.: Commun. Math. Phys.58, 223–240 (1978)

    Google Scholar 

  12. Ward, R.S.: Phys. Lett. B, (to appear)

  13. Atiyah, M.F.: Geometry of Yang-Mills Fields. Pisa: Scuola Normale Superiore 1979

    Google Scholar 

  14. Yang, C.N.: Phys. Rev. Lett.38, 1377–1379 (1977)

    Google Scholar 

  15. Eastwood, M.G., Penrose, R., Wells, R.O., Jr.: Commun. Math. Phys.78, 305–351 (1981)

    Google Scholar 

  16. Manton, N.S.: Nucl. Phys. B135, 319–332 (1978)

    Google Scholar 

  17. Arafune, J., Freund, P.G.O., Goebel, C.J.: J. Math. Phys. (NY)16, 433–437 (1975)

    Google Scholar 

  18. Houston, P., O'Raifeartaigh, L.: On monopole systems with weak axial symmetry. Preprint, Dublin

  19. Corrigan, E., Goddard, P.: Commun. Math. Phys.80, 575–587 (1981)

    Google Scholar 

  20. Weinberg, E.: Phys. Rev. D20, 936–944 (1979)

    Google Scholar 

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Communicated by A. Jaffe

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Ward, R.S. Ansätze for self-dual Yang-Mills fields. Commun.Math. Phys. 80, 563–574 (1981). https://doi.org/10.1007/BF01941664

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