Geodesic
A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 188-213

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A method is developed for studying the long-range behavior of the spin correlator in a two-dimensional Ising model, based on an approximate solving of the equation for the resolvent of a Toeplitz matrix whose determinant is a correlator. In the scaling domain the answer is expressed in terms of the Green's functions of certain singular equations. The bounds obtained for the norm of the matrix-resolvent yield the possibility of a rigorous justification of the asymptotic formulas. 
@article{ZNSL_1978_77_a9,
     author = {V. N. Popov},
     title = {A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {188--213},
     publisher = {mathdoc},
     volume = {77},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a9/}
}
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V. N. Popov. A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics, Tome 77 (1978), pp. 188-213. http://geodesic.mathdoc.fr/item/ZNSL_1978_77_a9/