Numerical tests of CFT conjectures for 3D spin systems Original Research Article

One kind of predictions of conformal field theory for two-dimensional systems are universal relations between scaling amplitudes and scaling dimensions on infinite length cylinders. We discuss different possible generalizations of such laws to three-dimensional geometries. Using cluster update Monte Carlo simulations we investigate the finite-size scaling of the correlation lengths of several three-dimensional classical O(n) spin models. We find that, choosing appropriate geometries or boundary conditions, the two-dimensional situation can be restored.