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Yang--Mills equations as inverse scattering problem

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Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

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Abstract

Non-linear self-duality equations F v = rpm are shown to be conditions of compatibility of two linear equations.rAll the N-instanton fields are constructed explicity.

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References

  1. A.Belavin, A.Polyakov, A.Schwartz, Y.Tyupkin (1975), Phys. Lett., 59B, 85.

    Google Scholar 

  2. t'Hooft, G. (1976), Phys. Rev. Lett., 37, 8.

    Article  Google Scholar 

  3. Callan, C., R.Dashen and D.Gross (1976), Phys. Lett., 63B, 334.

    Google Scholar 

  4. jackiw,R. and C.Rebbi (1976), Phys. Rev. Lett., 37, 172.

    Google Scholar 

  5. Polyakov, A. (1975), Phys. Lett., 59B, 82.

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  6. Polyakov, A. (1976) NORDITA preprint.

    Google Scholar 

  7. Jackiw, R., C.Nohl and C.Rebbi (1976) MIT preprint.

    Google Scholar 

  8. B.Burlakov, V.Dutyshev, Report at the Meeting of Nuclear Physics Division of the Academy of Sciences, Octoher (1976); ZhETF, in press. E.Witten (1976) Harward University preprint.

    Google Scholar 

  9. V.E.Zakharov, A.B.Shabat, in press.

    Google Scholar 

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G. Dell'Antonio S. Doplicher G. Jona-Lasinio

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© 1978 Springer-Verlag

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Belavin, A., Zakharov, V. (1978). Yang--Mills equations as inverse scattering problem. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_20

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  • DOI: https://doi.org/10.1007/3-540-08853-9_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08853-0

  • Online ISBN: 978-3-540-35811-4

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