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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.

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Author notes

  1. Barry Simon (Alfred P. Sloan Foundation Fellow)

    Present address: Departments of Mathematics and Physics, Princeton University, 08540, Princeton, N. J., USA

  2. Robert B. Griffiths (J. S. Guggenheim Memorial Foundation Fellow)

    Present address: Department of Physics, Carnegie-Mellon University, 15213, Pittsburgh, Pa., USA

Authors and Affiliations

  1. C.N.R.S., Marseille, France

    Barry Simon (Alfred P. Sloan Foundation Fellow)

  2. Chemistry Dept., Cornell University, Ithaca, New York

    Robert B. Griffiths (J. S. Guggenheim Memorial Foundation Fellow)

Authors
  1. Barry Simon
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  2. Robert B. Griffiths
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Simon, B., Griffiths, R.B. The (φ4)2 field theory as a classical Ising model. Commun.Math. Phys. 33, 145–164 (1973). https://doi.org/10.1007/BF01645626

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  • DOI: https://doi.org/10.1007/BF01645626

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