Comment on ``Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories"

Abstract

Hove, Mo, and Sudbo [Phys. Rev. Lett. 85, 2368 (2000)] derived a simple connection, $\eta +D_H=2$, between the anomalous scaling dimension $\eta$ of the U(1) universality class order parameter and the Hausdorff dimension $D_H$ of critical loops in loop representations of U(1) models. We show that the above relation is wrong and establish a correct relation that contains a new critical exponent.

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References in corpus (1)

• Worm algorithms for classical statistical models

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