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Conformal invariance and universality in finite-size scaling

Journal of Physics A Mathematical and General · 1984 · Vol. 17(7) · pp. L385–L387

John Cardy✉(University of California, Santa Barbara)

Abstract

The universal relation between critical exponents and the amplitude of the correlation length divergence as a function of finite size at the critical point of two-dimensional systems is shown to be a consequence of conformal invariance. Both periodic and free boundary conditions are considered.

Theoretical and Computational Physics Material Dynamics and Properties Random Matrices and ApplicationsUniversality (dynamical systems)Conformal symmetryWidom scalingCritical exponentScalingConformal mapMathematicsCritical point (mathematics)Critical phenomenaScale invariance

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