Crossover scaling from classical to non-classical critical behaviour

Details Crossover scaling from classical to non-classical critical behaviour Crossover scaling from classical to non-classical critical behaviour

1998-09-15

arxiv.org/abs/hep-lat/9809101v1

Nucl.Phys.Proc.Suppl. 73 (1999) 757-762

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(spin), uses epsfig, 5 ps figures

Scientific paper

10.1016/S0920-5632(99)85195-0

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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