Communications in Mathematical Physics

, Volume 78, Issue 1, pp 117–135

Low temperature expansion for continuous-spin Ising models

  • J. Bricmont
  • J. L. Lebowitz
  • C. E. Pfister

DOI: 10.1007/BF01941973

Cite this article as:
Bricmont, J., Lebowitz, J.L. & Pfister, C.E. Commun.Math. Phys. (1980) 78: 117. doi:10.1007/BF01941973


We consider general ferromagnetic spin systems with finite range interactions and an even single-spin distribution of compact support on IR. It is shown under mild assumptions on the single-spin distribution that a low temperature expansion, in powers ofT, for the free energy and the correlation functions is asymptotic. We also prove exponential clustering in the pure phases and analyticity of the free energy and of the correlation functions in the reciprocal temperature β for Re β large.

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. Bricmont
    • 1
  • J. L. Lebowitz
    • 2
  • C. E. Pfister
    • 3
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of Mathematics and PhysicsRutgers UniversityNew BrunswickUSA
  3. 3.Department de MathematiquesEcole Polytechnique FédéraleLausanneSwitzerland