arXiv:math-ph/0612051 · Journal of Physics A Mathematical and Theoretical

Form factor expansion of the row and diagonal correlation functions of the two-dimensional Ising model

I. Lyberg, Barry M. McCoy

Published Mar 14, 2007• 27 citations

Abstract

We derive and prove exponential and form factor expansions of the row correlation function ⟨σ 0,0 σ 0, N ⟩ and the diagonal correlation function ⟨σ 0,0 σ N , N ⟩ of the two-dimensional Ising model.

DOI: 10.1088/1751-8113/40/13/003

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arXiv:math-ph/0612051 · Journal of Physics A Mathematical and Theoretical

Form factor expansion of the row and diagonal correlation functions of the two-dimensional Ising model

I. Lyberg, Barry M. McCoy

Published Mar 14, 2007• 27 citations

arXiv HTML PDF

Abstract

DOI: 10.1088/1751-8113/40/13/003

Related papers

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T<{T}_{c}

and

T>{T}_{c}

. It is found that the nearest singularity of the generating function for the correlation is quite simple in the case

T>{T}_{c}

, but much more complicated for

T<{T}_{c}

. In an Appendix, we also give exactly in a very simple form the correlation $〈{\ensuremath{\sigma}}_{0,0}{\ensuremath{\sigma}}_{N,N}〉$ for symmetrical Ising lattice at the critical temperature

{T}_{c}