A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields

Abstract

We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dengerously irrelevant. We confirm its validity on the 6-state clock model in three and four dimensions by numerical simulation. In doing so, we point out the problem in the previously-used order parameter, and present an alternative evidence based on the mass-dependent fluctuation.

5 pages, 5 figures

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