Crossover scaling from classical to non-classical critical behaviour

Caracciolo, Sergio and Causo, Maria Serena and Pelissetto, Andrea and Rossi, Paolo and Vicari, Ettore (1999) Crossover scaling from classical to non-classical critical behaviour. Nuclear Physics B - Proceedings Supplements, 73 (1-3). pp. 757-762. ISSN 1873-3832

Abstract

Interacting physical systems in the neighborhood of criticality (and massive continuum field theories) can often be characterized by just two physical scales: a (macroscopic) correlation length and a (microscopic) interaction range, related to the coupling and measured by the Ginzburg number $G$. A critical crossover limit can be defined when both scales become large while their ratio stays finite. The corresponding scaling functions are universal, and they are related to the standard field-theory renormalization-group functions. The critical crossover describes the unique flow from the Gaussian to the nonclassical fixed point.

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