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Analytic interpolation and Borel summability of the (λ/N|Φ N |:4)2 models

I. Finite volume approximation

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Abstract

Analytic interpolation in the variable 1/N of (λ/N|Φ N |:4)2 models is constructed at finite volume approximation. We prove Borel summability of the Taylor series at 1/N=0 of their Schwinger functions. We also give an extension of the domain of analyticity in the coupling constant.

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References

  1. Glimm, J., Jaffe, A.: Quantum field theory models. In: Statistical mechanics and quantum field theory, De Witt, C., Stora, R. (eds.) p. 1, New York: Gordon and Breach 1971

    Google Scholar 

  2. Kupianen, A.: 1/N expansion for a quantum field model. Commun. Math. Phys.74, 199–221 (1980)

    Google Scholar 

  3. Nelson, E.: A quartic interaction in two dimensions. In: Mathematical theory of elementary particles, Goodmann, R., Segal, I., (eds.), p. 69, Cambridge MA: M.I.T. Press 1966

    Google Scholar 

  4. Renouard, P.: Analyticité et sommabilité de Borel des fonctions de Schwinger du modèle de Yukawa en dimensiond=2.I. Ann. I.H.P.27, 237 (1977)

    Google Scholar 

  5. Sokal, A.: An improvement of Watson's theorem on Borel summability. J.M.P.21, 261 (1980)

    Google Scholar 

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Authors and Affiliations

  1. Centre de Physique Théorique, Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    C. Billionnet & P. Renouard

Authors
  1. C. Billionnet
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  2. P. Renouard
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Communicated by K. Osterwalder

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Billionnet, C., Renouard, P. Analytic interpolation and Borel summability of the (λ/N|Φ N |:4)2 models. Commun.Math. Phys. 84, 257–295 (1982). https://doi.org/10.1007/BF01208572

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  • DOI: https://doi.org/10.1007/BF01208572

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