UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Asymptotic scaling in the two-dimensional SU(3) sigma model at correlation length 4x10(5)

Mana, G; Pelissetto, A; Sokal, AD; (1996) Asymptotic scaling in the two-dimensional SU(3) sigma model at correlation length 4x10(5). PHYS REV D , 54 (2) R1252 - R1255.

Full text not available from this repository.

Abstract

We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths xi up to approximate to 4x10(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 greater than or equal to 10(3) we observe good asymptotic scaling in the hare coupling; at xi approximate to 4X10(5) the nonperturbative constant is within 2-3% of its predicted limiting value.

Type:Article
Title:Asymptotic scaling in the two-dimensional SU(3) sigma model at correlation length 4x10(5)
Keywords:MONTE-CARLO SIMULATIONS, LATTICE GAUGE-THEORY, 2 DIMENSIONS, CHIRAL MODELS, MASS GAP, ALGORITHMS
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

Archive Staff Only: edit this record