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arXiv · hep-lat/9411062

New Method for the Extrapolation of Finite-Size Data to Infinite Volume

Sergio Caracciolo·Robert G. Edwards·Sabino J. Ferreira·Andrea Pelissetto·Alan D. Sokal
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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 $O(\infty)$ $σ$-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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Sergio Caracciolo, Robert G. Edwards, Sabino J. Ferreira, Andrea Pelissetto, Alan D. Sokal. 1994-11-28. New Method for the Extrapolation of Finite-Size Data to Infinite Volume. https://doi.org/10.1016/0920-5632(95)00370-o

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