TY - JOUR
T1 - Asymptotic scaling in the two-dimensional SU(3) [Formula presented] model at correlation length 4 × [Formula presented]
AU - Mana, Gustavo
AU - Pelissetto, Andrea
AU - Sokal, Alan D.
PY - 1996
Y1 - 1996
N2 - We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths [Formula presented] up to ≈4 × [Formula presented], 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 [Formula presented] we observe good asymptotic scaling in the bare coupling; at [Formula presented] the nonperturbative constant is within 2-3% of its predicted limiting value.
AB - We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths [Formula presented] up to ≈4 × [Formula presented], 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 [Formula presented] we observe good asymptotic scaling in the bare coupling; at [Formula presented] the nonperturbative constant is within 2-3% of its predicted limiting value.
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U2 - 10.1103/PhysRevD.54.R1252
DO - 10.1103/PhysRevD.54.R1252
M3 - Article
AN - SCOPUS:0010736319
SN - 1550-7998
VL - 54
SP - R1252-R1255
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 2
ER -