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

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arxiv hep-th/9507010 v1 pith:V4JMU6DZ submitted 1995-07-03 hep-th cond-mathep-lat

G. Delfino , G. Mussardo This is my paper · ORCID
classification hep-thcond-mathep-lat
keywords correlationfunctionmodelsigmafieldisingmagnetictwo-dimensional
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 5 Pith papers

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    Matrix product state simulations of real-time scattering in Ising Field Theory reproduce perturbative results near free fermion and E8 limits and support a conjectured crossover in high-energy elastic versus inelastic...

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    Real-time lattice Hamiltonian simulation of a three-particle Ising field theory suppresses Umklapp processes and produces relativistic hydrodynamics sound modes, extracting ζ/s=14.19±0.90 and c_s/c=0.76±0.02 at T≈7.14.

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