Communications in Mathematical Physics

, Volume 33, Issue 2, pp 145–164 | Cite as

The (φ4)2 field theory as a classical Ising model

  • Barry Simon
  • Robert B. Griffiths


We approximate a (spatially cutoff) (φ4)2 Euclidean field theory by an ensemble of spin 1/2 Ising spins with ferromagnetic pair interactions. This approximation is used to prove a Lee-Yang theorem and GHS type correlation inequalities for the (φ4)2 theory. Application of these results are presented.


Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Barry Simon
    • 1
  • Robert B. Griffiths
    • 2
  1. 1.C.N.R.S.MarseilleFrance
  2. 2.Chemistry Dept.Cornell UniversityIthaca

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