Meron-Cluster Simulation of the $θ$-Vacuum in the 2-d $O(3)$-Model
| dc.creator | Bietenholz, W. | |
| dc.creator | Pochinsky, A. | |
| dc.creator | Wiese, U. -J. | |
| dc.date | 1995-05-24 | |
| dc.date.accessioned | 2026-07-07T11:14:25Z | |
| dc.date.available | 2026-07-07T11:14:25Z | |
| dc.description | The 2-d $O(3)$-model with a $θ$-vacuum term is formulated in terms of Wolff clusters. Each cluster carries a half-integer topological charge. The clusters with charge $\pm 1/2$ are identified as merons. At $θ= π$ the merons are bound in pairs inducing a second order phase transition at which the mass-gap vanishes. The construction of an improved estimator for the topological charge distribution makes numerical simulations of the phase transition feasible. The measured critical exponents agree with those of the $k = 1$ Wess-Zumino-Novikov-Witten model. Our results are consistent with Haldane's conjecture for 1-d antiferromagnetic quantum spin chains. | |
| dc.description | 8 pages, gzip'ed uuencoded postscript file, 3 figures included | |
| dc.identifier | https://arxiv.org/abs/hep-lat/9505019 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/9505019 | |
| dc.identifier | Phys.Rev.Lett.75:4524-4527,1995 | |
| dc.identifier | doi:10.1103/PhysRevLett.75.4524 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192060 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Condensed Matter | |
| dc.title | Meron-Cluster Simulation of the $θ$-Vacuum in the 2-d $O(3)$-Model | |
| dc.type | text |