We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant sigma model at correlation lengths xi up to similar to 10(5). Our work employs a powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is approximate to 25% at xi similar to 10(2), decreases to approximate to 4% at xi similar to 10(5).
ASYMPTOTIC SCALING IN THE 2-DIMENSIONAL O(3) SIGMA MODEL AT CORRELATION LENGTH 10(5) / S., Caracciolo; R. G., Edwards; Pelissetto, Andrea; A. D., Sokal. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 75:(1995), pp. 1891-1894. [10.1103/physrevlett.75.1891]
ASYMPTOTIC SCALING IN THE 2-DIMENSIONAL O(3) SIGMA MODEL AT CORRELATION LENGTH 10(5)
PELISSETTO, Andrea;
1995
Abstract
We carry out a high-precision Monte Carlo simulation of the two-dimensional O(3)-invariant sigma model at correlation lengths xi up to similar to 10(5). Our work employs a powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. The deviation from asymptotic scaling, which is approximate to 25% at xi similar to 10(2), decreases to approximate to 4% at xi similar to 10(5).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
