The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at $T=T_c$

Abstract

The form factor bootstrap approach is used to compute the exact contributions in the large distance expansion of the correlation function $<\sigma (x)\sigma (0)>$ of the two-dimensional Ising model in a magnetic field at $T=T_c$. The matrix elements of the magnetization operator $\sigma (x)$ 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.

53 pages, latex, 15 figures

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• The space of local operators in perturbed conformal field theories,
• Form-Factor Bootstrap and the Operator Content of Perturbed Minimal Models
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