Numerical extension of CFT amplitude universality to three-dimensional systems

Martin Weigel and Wolfhard Janke

Physica A: Statistical Mechanics and its Applications, 2000, vol. 281, issue 1, 287-294

Abstract: Conformal field theory (CFT) predicts universal relations between scaling amplitudes and scaling dimensions for two-dimensional systems on infinite length cylinders, which hold true even independent of the model under consideration. We discuss different possible generalizations of such laws to three-dimensional geometries. Using a cluster update Monte Carlo algorithm we investigate the finite-size scaling (FSS) of the correlation lengths of several representatives of the class of three-dimensional classical O(n) spin models. We find that, choosing appropriate boundary conditions, the two-dimensional situation can be restored.

Keywords: Spin models; Finite-size scaling; Universal amplitudes; Conformal field theory (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:281:y:2000:i:1:p:287-294

DOI: 10.1016/S0378-4371(00)00053-4

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