Abstract
The correlation functions of the two-dimensional Ising model satisfy nonlinear equations both on the lattice (discovered by McCoy and Wu [Nucl. Phys. B 180, 89 (1981)] and Perk [Phys. Lett. A1 79, 3 (1980)]) and in a continuum limit (discovered by Wu, McCoy, Tracy, and Barouch and generalized by Sato, Miwa, and Jimbo [Publ. RIMS 14, 223 (1978)]). In this paper results are presented for infinite spin groups that extend results of Sato, Miwa, and Jimbo [Publ. RIMS 14, 223 (1978)] and lead to normal ordered product formulas for the difference of adjacent Ising spin fields. These product formulas are shown to lead directly to the lattice difference equations for the correlations and are also a key ingredient in the scaling limit analysis.
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