Finite-Size Scaling at ξ/L 1
Sergio Caracciolo, Robert G. Edwards, Sabino José Ferreira, Andrea Pelissetto, Alan D. Sokal
Abstract
We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lattice, and the two-dimensional O(3) and O(∞) σ-models. In favorable cases it is possible to obtain reliable extrapolations (errors of a few percent) even when the correlation length is 1000 times larger than the lattice.
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