Asymptotic scaling in the two-dimensional SU(3) {sigma} model at correlation length 4{times}10{sup 5}
Journal Article
·
· Physical Review, D
- Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)
- Dipartimento di Fisica and INFN--Sezione di Pisa, Universita degli Studi di Pisa, I-56100 Pisa (Italy)
We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths {xi} up to {approx_equal}4{times}10{sup 5}, using a multigrid Monte Carlo (MGMC) algorithm. We extrapolate the finite-volume Monte Carlo data to infinite volume using finite-size-scaling theory, and we discuss carefully the systematic and statistical errors in this extrapolation. We then compare the extrapolated data to the renormalization-group predictions. For {xi}{approx_gt}10{sup 3} we observe good asymptotic scaling in the bare coupling; at {xi}{approx_equal}4{times}10{sup 5} the nonperturbative constant is within 2{endash}3{percent} of its predicted limiting value. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 286257
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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