A meron cluster solution for the sign problem of the two-dimensional O(3) model
高能物理 - 格点
2016-09-01 v1
摘要
The two-dimensional O(3) model at a vacuum angle theta=pi is investigated. This model has a severe sign problem. By a Wolff cluster algorithm an integer or half-integer topological charge is assigned to each cluster. The meron clusters (clusters with half-integer topological charge) are used to construct an improved estimator for the correlation function of two spins at theta=pi. Only configurations with 0 and 2 merons contribute to this correlation function. An algorithm, that generates configurations with only 0 and 2 merons, is constructed and numerical simulations at theta=pi are performed. The numerical results indicate the presence of long range correlations at theta=pi.
引用
@article{arxiv.hep-lat/0207012,
title = {A meron cluster solution for the sign problem of the two-dimensional O(3) model},
author = {Frank Brechtefeld},
journal= {arXiv preprint arXiv:hep-lat/0207012},
year = {2016}
}
备注
10 pages, 3figures