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

Nikolay Prokof'ev·Boris Svistunov
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Abstract

Hove, Mo, and Sudbo [Phys. Rev. Lett. 85, 2368 (2000)] derived a simple connection, $η+ D_H = 2$, between the anomalous scaling dimension $η$ 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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Nikolay Prokof'ev, Boris Svistunov. 2005-04-01. Comment on ``Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories". https://doi.org/10.1103/physrevlett.96.219701

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