Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-30
J.Phys.A34:8733-8750,2001
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, no figures
Scientific paper
10.1088/0305-4470/34/42/302
We investigate the presence of irrelevant operators in the 2d Ising model perturbed by a magnetic field, by studying the corrections induced by these operators in the spin-spin correlator of the model. To this end we perform a set of high precision simulations for the correlator both along the axes and along the diagonal of the lattice. By comparing the numerical results with the predictions of a perturbative expansion around the critical point we find unambiguous evidences of the presence of such irrelevant operators. It turns out that among the irrelevant operators the one which gives the largest correction is the spin 4 operator T^2 + \bar T^2 which accounts for the breaking of the rotational invariance due to the lattice. This result agrees with what was already known for the correlator evaluated exactly at the critical point and also with recent results obtained in the case of the thermal perturbation of the model.
Caselle Michele
Grinza Paolo
Magnoli Nicodemo
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