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On the Lagrangian theory of anti-self-dual fields in four-dimensional euclidean space

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We show that a certain four-dimensional field theory has powerful structures in common with the two-dimensional 0(1, 3) non-linear σ-model.

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References

  1. Aks, S.Ø.: J. Math. Phys.6, 516 (1964)

    Google Scholar 

  2. Coleman, S., Mandula, G.: Phys. Rev.159, 1251 (1967)

    Google Scholar 

  3. Yang, C.N.: Phys. Rev. Lett.38, 1377 (1977)

    Google Scholar 

  4. Belavin, A.A., Zakharov, V.E.: Phys. Lett. B73, 53 (1978)

    Google Scholar 

  5. Pohlmeyer, K.: Commun. Math. Phys.46, 207 (1976)

    Google Scholar 

  6. Lüscher, M., Pohlmeyer, K.: Nucl. Phys. B137, 46 (1978)

    Google Scholar 

  7. Pohlmeyer, K.: On the theory of anti-self-dual SU(2) gauge fields for Euclidean four-dimensional space. Universität Freiburg preprint, 1978

  8. Prasad, M.K., Sinha, A., Ling-Lie Wang: Parametric Bäcklund transformation for self-dual SU(N) Yang-Mills fields, and: Non-local continuity equations for self-dual SU(N) Yang-Mills fields, Brookhaven National Laboratory preprints ITP-SB-79-52, BNL-26226 and ITP-SB-79-63, BNL-26356

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Communicated by R. Haag

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Pohlmeyer, K. On the Lagrangian theory of anti-self-dual fields in four-dimensional euclidean space. Commun.Math. Phys. 72, 37–47 (1980). https://doi.org/10.1007/BF01200109

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  • DOI: https://doi.org/10.1007/BF01200109

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