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Rotational Invariance of the 2d Spin – Spin Correlation Function

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Abstract

At the critical temperature in the 2d Ising model on the square lattice, we establish the rotational invariance of the spin-spin correlation function using the asymptotics of the spin-spin correlation function along special directions (McCoy and Wu in the two dimensional Ising model. Harvard University Press, Cambridge, 1973) and the finite difference Hirota equation for which the spin-spin correlation function is shown to satisfy (Perk in Phys Lett A 79:3–5, 1980; Perk in Proceedings of III international symposium on selected topics in statistical mechanics, Dubna, August 22–26, 1984, JINR, vol II, pp 138–151, 1985).

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Correspondence to Haru Pinson.

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Communicated by S. Smirnov

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Pinson, H. Rotational Invariance of the 2d Spin – Spin Correlation Function. Commun. Math. Phys. 314, 807–816 (2012). https://doi.org/10.1007/s00220-012-1545-5

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  • DOI: https://doi.org/10.1007/s00220-012-1545-5

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