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Anomalous Scaling and Fractal Dimensions

Wolfhard Janke, Adriaan M. J. Schakel

Published 2005-08-30Version 1

The relation between critical exponents, characterizing a continuous phase transition, and the fractal structure of physical lines, proliferating at the critical point, is established by considering the two-dimensional O($N$) spin model for which many exact results are available.

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