Communications in Mathematical Physics

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

On the 1/n expansion

  • Antti J. Kupiainen


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.


Neural Network Free Energy Statistical Physic Correlation Function Complex System 
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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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