Communications in Mathematical Physics

, Volume 61, Issue 3, pp 191–208 | Cite as

Correlation-function identities and inequalities for Ising models with pair interactions

  • R. J. Boel
  • P. W. Kasteleyn


For Ising models with pair interactions in zero magnetic field a class of linear combinations of products of two correlation functions is studied. We derive sufficient and necessary conditions under which a function in this class is (a) zero for all values of the coupling parameters, or (b) nonnegative for all nonnegative values of the coupling parameters. Examples of correlation-function identities and inequalities of this type are given.


Magnetic Field Neural Network Statistical Physic Linear Combination Correlation Function 
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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • R. J. Boel
    • 1
  • P. W. Kasteleyn
    • 1
  1. 1.Instituut-Lorentz voor Theoretische NatuurkundeRijksuniversiteit LeidenLeidenThe Netherlands

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