Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories

2000/08/07 by J. Hove, S. Mo, Asle Sudbø +1 · 3 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.85.2368

published as Phys.Rev.Lett. 85 (2000) 2368-2371 · Accepted for publication in PRL

arxiv created 2000/08/07 · openalex publication_date 2000/09/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The geometric properties of the critical fluctuations in Abelian gauge theories such as the Ginzburg-Landau model are analyzed in zero background field. Using a dual description, we obtain scaling relations between exponents of geometric and thermodynamic nature. In particular, we connect the anomalous scaling dimension eta of the dual matter field to the Hausdorff dimension D(H) of the critical fluctuations, which are fractal objects. The connection between the values of eta and D(H), and the possibility of having a thermodynamic transition in finite background field, is discussed.

Citations

• Criterion for Dominance of Directional over Size Fluctuations in Destroying Order

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