Critical behavior of the two-dimensional Ising susceptibility
AuthorOrrick, WP; Nickel, BG; Guttmann, AJ; Perk, JHH
Source TitlePhysical Review Letters
PublisherAMERICAN PHYSICAL SOC
AffiliationMathematics And Statistics
Document TypeJournal Article
CitationsOrrick, W. P., Nickel, B. G., Guttmann, A. J. & Perk, J. H. H. (2001). Critical behavior of the two-dimensional Ising susceptibility. PHYSICAL REVIEW LETTERS, 86 (18), pp.4120-4123. https://doi.org/10.1103/PhysRevLett.86.4120.
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C1 - Journal Articles Refereed
We report computations of the short- and long-distance (scaling) contributions to the square-lattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable tau, linear in T/Tc-1, the short-distance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high- and low-temperature series of N = 323 terms, generated using an algorithm of complexity O(N6), are analyzed to obtain the scaling part, which when divided by the leading /tau/(-7/4) singularity contains only integer powers of tau. Contributions of distinct irrelevant variables are identified and quantified at leading orders /tau/(9/4) and /tau/(17/4).
KeywordsMathematical Logic; Set Theory; Lattices and Combinatorics ; Mathematical Sciences
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