Abstract
A representation of the pair correlation function for the rectangular Ising model in zero magnetic field is derived using a new spinor technique; this enables the scaling limit to be established, as well as several analytical properties of the scaling functions.
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Abraham, D.B.: Commun. math. Phys.59, 17 (1978)
Caianiello, E.R.: Combinations and renormalisation in quantum field theory. New York: Benjamin 1973
Kasteleyn, P.W.: Graph theory and theoretical physics (ed. F. Harary). New York: Academic Press 1967
Hove, L. van: Lectures on the many body problem (ed. E. R. Caianiello). New York: Academic Press 1962
Mittag, L., Stephen, M.J.: J. Math. Phys.12, 441 (1971), and References therein
Abraham, D.B., Reed, P.: Phys. Rev. Letters33, 377 (1974), Ref. [10] therein
Abraham, D.B., Martin-Löf, A.: Commun. math. Phys.32, 245–268 (1973)
Abraham, D.B.: Studies Appl. Math.50, 71 (1971)
Martin-Löf, A.: Commun. math. Phys.24, 253 (1972); Lebowitz, J.L., Martin-Löf, A.: Commun. math. Phys.25, 276 (1972); Bennettin, G., Gallavotti, G., Jona-Lasinio, G., Stella, A.L.: Commun. math. Phys.30, 45 (1973); see also Ref. [7]
Yang, C.N.: Phys. Rev.85, 808 (1952)
Abraham, D.B.: Studies Appl. Math.51, 179 (1972)
Wu, T.T., McCoy, B.M., Tracy, C.A., Barouch, E.: Phys. Rev. B13 316 (1976); Tracy, C.A., McCoy, B.M.: Phys. Rev. B12, 368 (1975)
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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. Pair function for the rectangular Ising ferromagnet. Commun.Math. Phys. 60, 181–191 (1978). https://doi.org/10.1007/BF01609448
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DOI: https://doi.org/10.1007/BF01609448