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.
|Original language||English (US)|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 1996|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)