Asymptotic scaling in the two-dimensional SU(3) sigma model at correlation length 4x10(5).
PHYS REV D
R1252 - R1255.
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.
|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|
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