Asymptotic Scaling in the Two-Dimensional O(3) {sigma} Model at Correlation Length 10{sup 5}
Journal Article
·
· Physical Review Letters
- Dipartimento di Fisica, Universita di Lecce and INFN-Sezione di Lecce, I-73100 Lecce (Italy)
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{sup 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 {approx}25% at {xi}{similar_to}10{sup 2}, decreases to {approx}4% at {xi}{similar_to}10{sup 5}.
- Research Organization:
- Florida State University
- DOE Contract Number:
- FG05-85ER25000; FG05-92ER40742
- OSTI ID:
- 249554
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 75; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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