Geodesic
Scale-invariant description of the critical region in the method of integral equations for the correlation functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 264-277

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It is shown that in the framework of the Percus–Lebowitz method of functional expansions it is not possible to obtain an equation closed at the level of the two-particle correlation functions ensuring a realistic description of a large neighborhood of the critical point. A modified variant of the method is used to derive an approximate equation for the twoparticle correlation functions valid both at the critical point and far from it. The $\varepsilon$ expansions of the critical exponents that follow from this equation agree with the wellknown results for the Ising model. 
@article{TMF_1986_66_2_a10,
     author = {A. L. Blokhin and A. V. Chalyi},
     title = {Scale-invariant description of the critical region in the method of integral equations for the correlation functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {264--277},
     publisher = {mathdoc},
     volume = {66},
     number = {2},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a10/}
}
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A. L. Blokhin; A. V. Chalyi. Scale-invariant description of the critical region in the method of integral equations for the correlation functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 264-277. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a10/