Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-09-06
Phys.Rev.Lett. 74 (1995) 2969-2972
Physics
High Energy Physics
High Energy Physics - Lattice
11 pages including 4 figures, 280216 bytes Postscript (NYU-TH-94/09/02)
Scientific paper
10.1103/PhysRevLett.74.2969
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 $O(\infty)$ $\sigma$-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.
Caracciolo Sergio
Edwards Robert G.
Ferreira Sabino José
Pelissetto Andrea
Sokal Alan D.
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