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Hove, Mo, and Sudbo [Phys. Rev. Lett. 85, 2368 (2000)] derived a simpleconnection, $\eta + D_H = 2$, between the anomalous scaling dimension $\eta$ ofthe 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 theabove relation is wrong and establish a correct relation that contains a newcritical exponent.Comment: In 1 revtex page with 1 figur

Comment on “Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories”