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arXiv · hep-lat/9809101

Crossover scaling from classical to non-classical critical behaviour

Sergio Caracciolo·Maria Serena Causo·Andrea Pelissetto·Paolo Rossi·Ettore Vicari
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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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Sergio Caracciolo, Maria Serena Causo, Andrea Pelissetto, Paolo Rossi, Ettore Vicari. 1998-09-15. Crossover scaling from classical to non-classical critical behaviour. https://doi.org/10.1016/s0920-5632(99)85195-0

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