Journal of Physics A Mathematical and General

Universal amplitudes in finite-size scaling: generalisation to arbitrary dimensionality

John Cardy

Published Sep 11, 1985• 75 citations

Abstract

The relationship between the correlation length and critical exponents in finite width strips in two dimensions is generalised to cylindrical geometries of arbitrary dimensionality d. For d not=2 these correspond, however, to curved spaces. The result is verified for the spherical model.

DOI: 10.1088/0305-4470/18/13/005

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