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Communications in Mathematical Physics

, Volume 73, Issue 3, pp 273–294 | Cite as

On the 1/n expansion

  • Antti J. Kupiainen
Article

Abstract

The 1/n expansion is considered for then-component non-linear σ-model (classical Heisenberg model) on a lattice of arbitrary dimensions. We show that the expansion for correlation functions and free energy is asymptotic, for all temperatures above the spherical model critical temperature. Furthermore, the existence of a mass gap is established for these temperatures andn sufficiently large.

Keywords

Neural Network Free Energy Statistical Physic Correlation Function Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Antti J. Kupiainen
    • 1
  1. 1.Lyman Laboratory of PhysicsHarvard UniversityCambridgeUSA

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