This article has an erratum: [erratum]
Volume 43, Number 2, July II 1998
|Page(s)||189 - 194|
|Section||Condensed matter: structure, thermal and mechanical properties|
|Published online||01 September 2002|
Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model
Laboratoire de Physique Théorique et des Hautes Energies
Universités Pierre et Marie Curie (Paris VI )
et Denis Diderot (Paris VII )
Boite 126, Tour 16, 1er étage,
4 pl. Jussieu, 75251 Paris Cedex 05, France
Accepted: 28 May 1998
Using conformal field theory techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function () for the ferromagnetic random bond Potts model. We thus generalize the calculations of Dotsenko, Dotsenko and Picco (hep-th/9709136, 1997), where the case p=2 was considered, and of Ludwig ( Nucl. Phys. B, 85 (1987) 97, 330 (1990) 639), where first-order computations where made for general p. Perturbative calculations are made up to second order in ϵ (ϵ being proportional to the central charge deviation of the pure model from the Ising model value). The explicit dependence of the correlation function on p gives an upper bound for the validity of the ϵ-expansion, which seems to be valid, in the three-states case, only if .
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 11.25.Mj – Compactification and four-dimensional models
© EDP Sciences, 1998
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