The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at T=Tc
Abstract
The form factor bootstrap approach is used to compute the exact contributions in the large distance expansion of the correlation function <σ(x) σ(0)> of the two-dimensional Ising model in a magnetic field at T=Tc. The matrix elements of the magnetization operator σ(x) present a rich analytic structure induced by the (multi) scattering processes of the eight massive particles of the model. The spectral representation series has a fast rate of convergence and perfectly agrees with the numerical determination of the correlation function.
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