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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 77, Pages 188–213 (Mi znsl1928)  
A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model

V. N. Popov
Full-text PDF (853 kB)
Abstract: 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.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 5, Pages 1666–1684
DOI: https://doi.org/10.1007/BF01375615
Bibliographic databases:
UDC: 530.145
Language: Russian
Citation: V. N. Popov, “A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model”, Questions of quantum field theory and statistical physics, Zap. Nauchn. Sem. LOMI, 77, "Nauka", Leningrad. Otdel., Leningrad, 1978, 188–213; J. Soviet Math., 22:5 (1983), 1666–1684
Citation in format AMSBIB
\Bibitem{Pop78}
\by V.~N.~Popov
\paper A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model
\inbook Questions of quantum field theory and statistical physics
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 77
\pages 188--213
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1928}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541701}
\zmath{https://zbmath.org/?q=an:0509.15013|0427.15011}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 5
\pages 1666--1684
\crossref{https://doi.org/10.1007/BF01375615}
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