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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 1, Pages 113–127
DOI: https://doi.org/10.4213/tmf75 (Mi tmf75) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II

A. I. Bugrij, O. O. Lisovyy

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
Full-text PDF (262 kB) Citations (26)
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DOI: https://doi.org/10.4213/tmf75
Abstract: We calculate the pair correlation function and the magnetic susceptibility in the anisotropic Ising model on the lattice with one infinite and one finite dimension with periodic boundary conditions imposed along the second dimension. Using the exact expressions for lattice form factors, we propose formulas for arbitrary spin matrix elements, thus providing a possibility to calculate all multipoint correlation functions in the anisotropic Ising model on cylindrical and toroidal lattices. We analyze passing to the scaling limit.
Keywords: Ising model, correlation function, susceptibility, form factor, finite-size lattice.
Received: 28.07.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 1, Pages 987–1000
DOI: https://doi.org/10.1023/B:TAMP.0000033035.90327.1f
Bibliographic databases:
Language: Russian
Citation: A. I. Bugrij, O. O. Lisovyy, “Correlation Function of the Two-Dimensional Ising Model on a Finite Lattice: II”, TMF, 140:1 (2004), 113–127; Theoret. and Math. Phys., 140:1 (2004), 987–1000
Citation in format AMSBIB
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    This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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