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Analyticity of solutions of theO(N) nonlinear σ-model

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Abstract

We consider continuous weak solutions of the Euler-Lagrange equation associated with the Euclideand-dimensionalO(N) nonlinear σ-model. We show for arbitraryN and arbitraryd that such solutions with locally square integrable gradient are real analytic.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Göttingen, D-3400, Göttingen, Federal Republic of Germany

    H. J. Borchers & W. D. Garber

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  1. H. J. Borchers
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  2. W. D. Garber
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Communicated by R. Stora

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Borchers, H.J., Garber, W.D. Analyticity of solutions of theO(N) nonlinear σ-model. Commun.Math. Phys. 71, 299–309 (1980). https://doi.org/10.1007/BF01197297

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  • DOI: https://doi.org/10.1007/BF01197297

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