, Volume 33, Issue 2, pp 145-164

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

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Abstract

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.