Mana, G and Pelissetto, A and 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.
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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 |
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