Mana, G and Pelissetto, A and Sokal, AD (1996) Asymptotic scaling in the two-dimensional $SU(3)$ $σ$-model at correlation length $4 \times 10^5$. Phys.Rev.D54:1252-1255,1996 10.1103/PhysRevD.54.R1252.
Full text not available from this repository.
Abstract
We carry out a high-precision simulation of the two-dimensional $SU(3)$ principal chiral model at correlation lengths $\xi$ up to $\approx\! 4 \times 10^5$, using a multi-grid 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 $\xi \gtapprox 10^3$ we observe good asymptotic scaling in the bare coupling; at $\xi \approx 4 \times 10^5$ the nonperturbative constant is within 2--3\% of its predicted limiting value.
| Type: | Article |
|---|---|
| Title: | Asymptotic scaling in the two-dimensional $SU(3)$ $σ$-model at correlation length $4 \times 10^5$ |
| DOI: | 10.1103/PhysRevD.54.R1252 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevD.54.R1252 |
| Additional information: | 13 pages (includes 3 figures), self-unpacking uuencoded .tar.gz |
| UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |
Archive Staff Only: edit this record