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Communications in Mathematical Physics

, Volume 105, Issue 2, pp 291–326 | Cite as

On the massive sine-Gordon equation in all regions of collapse

  • F. Nicolò
  • J. Renn
  • A. Steinmann
Article

Abstract

The ultraviolet stability for the cosine interaction in two dimensions and finite volume Λ is rederived for values α2 ∈ [4π, 32/5π[ and proven for the remaining α2 ∈ [4π, 8π[ by using renormalization group methods developed in [G, GN1] to portray renormalized effective potentials arising from a multiscale decomposition.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Renormalization Group 
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References

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    Nicolò, F., Renn, J., Steinmann, A.: The pressure of the two dimensional Coulomb gas at low and intermediate temperatures. Preprint, II Università di Roma (1985). To appear on Annales de l'Institut Henri Poincaré, Physique TheoriqueGoogle Scholar
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • F. Nicolò
    • 1
  • J. Renn
    • 2
  • A. Steinmann
    • 3
  1. 1.Dipartimento di MathematicaII Università degli Studi di Roma, Tor VergataRomaItaly
  2. 2.Institut für Theorie der Elementarteilchen (WE4), Fachbereich Physik (FB20)Freie Universität BerlinBerlin 33
  3. 3.Eidgenössische Technische Hochschule, Mathematik, ETH-ZentrumZürichSwitzerland

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