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Irrelevant operators in the two-dimensional Ising model

Caselle, Michele and Hasenbusch, Martin and Pelissetto, Andrea and Vicari, Ettore (2002) Irrelevant operators in the two-dimensional Ising model. Journal of Physics A: Mathematical and General, 35 (23). p. 4861. ISSN 1361-6447

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By using conformal-field theory, we classify the possible irrelevant operators for the Ising model on the square and triangular lattices. We analyze the existing results for the free energy and its derivatives and for the correlation length, showing that they are in agreement with the conformal-field theory predictions. Moreover, these results imply that the nonlinear scaling field of the energy-momentum tensor vanishes at the critical point. Several other peculiar cancellations are explained in terms of a number of general conjectures. We show that all existing results on the square and triangular lattice are consistent with the assumption that only nonzero spin operators are present.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 11 Feb 2014 23:45
Last Modified: 11 Feb 2014 23:45
URI: http://eprints.adm.unipi.it/id/eprint/1876

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