对称 torus 上的二维临界伊辛模型的普适幅值比
统计力学
2015-10-08 v2 高能物理 - 格点
高能物理 - 理论
摘要
利用 conformal field theory 的结果，我们计算了二维伊辛模型在对称torus上的临界性质下的几个普适幅值比，包括关联长度比x* = lim_{L→∞} ξ(L)/L和前四个磁化矩比V_{2n} = <M^{2n}>/<M^2>^n。作为副产品，我们得到对称torus上无质量理论的前四个renormalized 2n点耦合常数G_{2n}^*。我们通过高精度蒙特卡罗模拟确认了这些预测。
引用
@article{arxiv.cond-mat/9904038,
title = {Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus},
author = {Jesús Salas and Alan D. Sokal},
journal= {arXiv preprint arXiv:cond-mat/9904038},
year = {2015}
}
备注
36 pages (LaTeX with style files included). Paper drastically shortened: discussion of corrections to scaling and SW dynamics deferred to future work. Analysis of higher renormalized coupling constants G_{2n}^* added. New bibliography added. To appear in J. Stat. Phys