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Odd operators and spinor algebras in lattice statistics:n-point functions for the rectangular Ising model

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Abstract

An extension is given of the development by Schultz et al. [3] of the pioneering work of Kaufman and Onsager [2] on the planar Ising ferromagnet. This involves a novel form of Wick's theorem [19] for fermions. In subsequent papers the method will be applied to determine then-point functions and to evaluate rigorously critical indices.

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Authors and Affiliations

  1. Department of Theoretical Chemistry, Oxford University, OX1 3TG, Oxford, England

    D. B. Abraham

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  1. D. B. Abraham
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Communicated by E. Lieb

Supported by the Fonds National Suisse de la Recherche Scientifique, by the National Science Foundation Grant No. PHY76-17191, and by the National Research Council of Canada Grant No. NRC A9344

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Abraham, D.B. Odd operators and spinor algebras in lattice statistics:n-point functions for the rectangular Ising model. Commun.Math. Phys. 59, 17–34 (1978). https://doi.org/10.1007/BF01614152

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