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IOP Publishing, Journal of Physics A: Mathematical and General, 13(26), p. 3131-3141, 1993

DOI: 10.1088/0305-4470/26/13/017

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Marginal Extended Perturbations in Two Dimensions and Gap-Exponent Relations

Journal article published in 1993 by L. Turban ORCID, B. Berche ORCID
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This paper is available in a repository.

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Abstract

11 pages, Plain TeX, epsf ; International audience ; The most general form of a marginal extended perturbation in a two-dimensional system is deduced from scaling considerations. It includes as particular cases extended perturbations decaying either from a surface, a line or a point for which exact results have been previously obtained. The first-order corrections to the local exponents, which are functions of the amplitude of the defect, are deduced from a perturbation expansion of the two-point correlation functions. Assuming covariance under conformal transformation, the perturbed system is mapped onto a cylinder. Working in the Hamiltonian limit, the first-order corrections to the lowest gaps are calculated for the Ising model. The results confirm the validity of the gap-exponent relations for the perturbed system.