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

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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.

Publication:

Communications in Mathematical Physics

Pub Date:

June 1973

DOI:

10.1007/BF01645626

Bibcode:

1973CMaPh..33..145S

Keywords:

• Neural Network;
• Statistical Physic;
• Field Theory;
• Complex System;
• Nonlinear Dynamics