### Abstract

We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths ξ up to ≈ «4×10^{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 ξ≥10^{3} we observe good asymptotic scaling in the bare coupling; at ξ≈4×10^{5} the nonperturbative constant is within 2-3% of its predicted limiting value.

Original language | English (US) |
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Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 54 |

Issue number | 2 |

State | Published - Jul 15 1996 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*54*(2).

**Asymptotic scaling in the two-dimensional SU(3) σ model at correlation length 4 × 105
.** / Mana, Gustavo; Pelissetto, Andrea; Sokal, Alan D.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 54, no. 2.

}

TY - JOUR

T1 - Asymptotic scaling in the two-dimensional SU(3) σ model at correlation length 4 × 105

AU - Mana, Gustavo

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

PY - 1996/7/15

Y1 - 1996/7/15

N2 - We carry out a high-precision simulation of the two-dimensional SU(3) principal chiral model at correlation lengths ξ up to ≈ «4×105, 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 ξ≥103 we observe good asymptotic scaling in the bare coupling; at ξ≈4×105 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 ξ up to ≈ «4×105, 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 ξ≥103 we observe good asymptotic scaling in the bare coupling; at ξ≈4×105 the nonperturbative constant is within 2-3% of its predicted limiting value.

UR - http://www.scopus.com/inward/record.url?scp=0010736319&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010736319&partnerID=8YFLogxK

M3 - Article

VL - 54

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

ER -