Correction induced by irrelevant operators in the correlators of the 2d Ising model in a magnetic field

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dc.creatorCaselle, M.
dc.creatorGrinza, P.
dc.creatorMagnoli, N.
dc.date2001-03-30
dc.date.accessioned2026-07-07T10:53:33Z
dc.date.available2026-07-07T10:53:33Z
dc.descriptionWe 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.
dc.description28 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0103263
dc.identifierhttp://arxiv.org/abs/hep-th/0103263
dc.identifierJ.Phys.A34:8733-8750,2001
dc.identifierdoi:10.1088/0305-4470/34/42/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185519
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleCorrection induced by irrelevant operators in the correlators of the 2d Ising model in a magnetic field
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