TY - JOUR
T1 - Two-dimensional O(3) σ-model up to correlation length 105
AU - Caracciolo, Sergio
AU - Edwards, Robert G.
AU - Pelissetto, Andrea
AU - Sokal, Alan D.
N1 - Funding Information:
We wish to thank aae-Kwon Kim for sharing his data with us, and for challenging us to push to ever larger values of ~/L. We also thank Steffen Meyer, Adrian Patrascioiu, Erhard Seller and Ulli Wolff for helpful discussions. The authors' research was supported by CNR, INFN, DOE contracts DE-FG05-85ER250000 and DE-FG05-92ER40742, NSF grant DMS-9200719, and NATO CRG 910251.
PY - 1995/4
Y1 - 1995/4
N2 - We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.
AB - We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant σ-model at correlation lengths ξ up to ∼ 105. Our work employs a new and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is ≈ 25% at ξ ∼ 102, decreases to ≈ 4% at ξ ∼ 105.
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U2 - 10.1016/0920-5632(95)00371-F
DO - 10.1016/0920-5632(95)00371-F
M3 - Article
AN - SCOPUS:33845289208
SN - 0920-5632
VL - 42
SP - 752
EP - 754
JO - Nuclear Physics B (Proceedings Supplements)
JF - Nuclear Physics B (Proceedings Supplements)
IS - 1-3
ER -