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The two-dimensionalO(N) nonlinear σ-model: Renormalisation and effective actions

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Abstract

We establish the existence of the Wilson Renormalised trajectory of theO(N) sigma model in perturbation theory in the “effective charge.” This yields a proof of perturbative renormalisability, and is also relevant in the “small-field” analysis of the rigorous renormalisation group construction of the continuum theory.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie (Paris VI), Tour 16, 4 Place Jussieu, Paris Cedex 05, France

    P. K. Mitter

  2. School of Mathematics, Institute for Advanced Study, 08540, Princeton, New Jersey, USA

    T. R. Ramadas

Authors
  1. P. K. Mitter
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  2. T. R. Ramadas
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Additional information

Communicated by G. Parisi

Laboratoire associé au CNRS UA 280

On leave from the Tata Institute of Fundamental Research, Bombay, 400 005, India

Research funded in part by NSF grant DMS 8601978

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Mitter, P.K., Ramadas, T.R. The two-dimensionalO(N) nonlinear σ-model: Renormalisation and effective actions. Commun.Math. Phys. 122, 575–596 (1989). https://doi.org/10.1007/BF01256494

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