A short note on the scaling function constant problem in the two-dimensional Ising model

DOI10.1007/s10955-017-1947-zzbMath1388.82006arXiv1710.04295OpenAlexW3164281128MaRDI QIDQ1753243

Thomas Bothner

Publication date: 28 May 2018

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04295

zbMATH Keywords

action integraltwo-dimensional Ising modelshort-distance expansion2-point function

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (3)

Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model ⋮ Irregular conformal blocks and connection formulae for Painlevé V functions ⋮ Edge distribution of thinned real eigenvalues in the real Ginibre ensemble

Uses Software

• DLMF

Cites Work

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• Exact expectation values of local fields in the quantum sine-Gordon model
• Asymptotics of a \(\tau\)-function arising in the two-dimensional Ising model
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Polynomial Hamiltonians associated with Painleve equations. I
• Asymptotics of a class of solutions to the cylindrical Toda equations
• On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential
• NIST digital library of mathematical functions
• Planar Ising correlations.
• How instanton combinatorics solves Painlevé VI, V and IIIs
• Connection Problem for the Sine-Gordon/Painlevé III Tau Function and Irregular Conformal Blocks: Fig. 1.
• Painlevé functions of the third kind
• Asymptotic Solutions of the Korteweg-deVries Equation
• Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painlevé-III Equation via the Riemann-Hilbert Approach

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