Short distance behaviour of correlators in the 2D Ising model in a magnetic field

Details Short distance behaviour of correlators in the 2D Ising model in a magnetic field Short distance behaviour of correlators in the 2D Ising model in a magnetic field

1999-09-10

arxiv.org/abs/hep-th/9909065v2

Nucl.Phys. B579 (2000) 635-666

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 10 figures, final version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00161-9

We study the spin-spin, spin-energy and energy-energy correlators in the 2d Ising model perturbed by a magnetic field. We compare the results of a set of high precision Montecarlo simulations with the predictions of two different approximations: the Form Factor approach, based on the exact S-matrix description of the model, and a short distance perturbative expansion around the conformal point. Both methods give very good results, the first one performs better for distances larger than the correlation length, while the second one is more precise for distances smaller than the correlation length. In order to improve this agreement we extend the perturbative analysis to the second order in the derivatives of the OPE constants.

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