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Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used to describe real experiments, which do not have the symmetry properties, is one of the most fundamental open questions in both statistical mechanics and quantum field theory.
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2005
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S. Boukraa, S. Hassani, J-M. Maillard, and N. Zenine, Landau Singularities and singularities of holonomic integrals of the Ising class, J. Phys. A40 (2007) 2583–2614
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S. Boukraa, S. Hassani, J-M. Maillard, and N. Zenine, Singularities of n \,n -fold integrals of the Ising class and the theory of elliptic curves, J. Phys. A40 (2007) 11713–11748
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N.S. Witte, Isomonodromic deformation theory and the next–to–diagonal correlations of the anisotropic square lattice Ising model, J. Phys. A40 (2007) F491–F501
2007
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S. Boukraa, S. Hassani, J-M. Maillard, B.M. McCoy, J-A. Weil and N. Zenine, The diagonal Ising susceptibility, J. Phys. A40 (2007) 8219–8236
2007
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A. Bostan, S. Boukraa, A.J. Guttmann, S. Hassani, I. Jensen, J-M. Maillard and N. Zenine, High order Fuchsian equations for the square lattice Ising model: χ ~ ( 5 ) {\tilde{\chi}}^{(5)} , J. Phys. A42 (2009) 275209 (32pp)
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2009
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2010
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B. Nickel. I. Jensen, S. Boukraa, A.J. Guttmann, S. Hassani, J-M Maillard and N. Zenine, Square lattice Ising model χ ~ ( 5 ) {\tilde{\chi}}^{(5)} ODE in exact arithmetic, J. Phys.A 43 (2010) 195205 (24pp)
2010
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2011
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A. Zamolodchikov and I. Ziyatdinov, Inelastic scattering and elastic amplitude in Ising field theory in a weak magnetic field at T > T c T>T_{c} : Perturbative analysis, Nucl. Phys. B849 (2011) 654–674
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R.J. Baxter, Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model, J. Stat. Phys. 145 (2011) 518-548
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J. Breuer and B. Simon, Natural boundaries and spectral theory, Advances in Math. 226 (2011) 4902-4920
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M. Assis, S. Boukraa, S. Hassani, M. van Hoeij, J-M. Maillard and B.M. McCoy, Diagonal Ising susceptibility, elliptic integrals, modular forms and Calabi-Yau equations, J. Phys. A45 (2012) 075205 (32pp)
2012
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