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

G. Delfino; G. Mussardo

arxiv: hep-th/9507010 · v1 · submitted 1995-07-03 · ✦ hep-th · cond-mat· hep-lat

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

G. Delfino , G. Mussardo This is my paper

classification ✦ hep-th cond-mathep-lat

keywords correlationfunctionmodelsigmafieldisingmagnetictwo-dimensional

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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.

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