Ising Correlations and Elliptic Determinants

@article{Iorgov2010IsingCA,
  title={Ising Correlations and Elliptic Determinants},
  author={N. Z. Iorgov and Oleg Lisovyy},
  journal={Journal of Statistical Physics},
  year={2010},
  volume={143},
  pages={33-59}
}
  • N. Iorgov, O. Lisovyy
  • Published 13 December 2010
  • Physics, Mathematics
  • Journal of Statistical Physics
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors—matrix elements of the spin operator in the basis of common eigenstates of the transfer matrix and translation operator. Free-fermion structure of the model implies that any multiparticle form factor is given by the pfaffian of a matrix constructed from the two-particle ones. Crossed two-particle form factors can be obtained by inverting a block of the matrix of linear… Expand
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