arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新，休息一下吧，周末愉快~~
arXiv 1902.09847hep-lat
收藏

数值随机扰动理论在扭曲Eguchi-Kawai模型中的应用

Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model

Antonio González-Arroyo, Issaku Kanamori, Ken-Ichi Ishikawa, Kanata Miyahana, Masanori Okawa, Ryoichiro Ueno

备注：
pdflatex 30 pages, version appeared in JHEP
发表信息：
J. High Energ. Phys. (2019) 2019: 127
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们提出了一个探索性的研究结果的数值随机扰动理论（NSPT）应用于四维扭曲江口河合（TEK）模型。我们采用Kramers型算法的基础上的广义混合分子动力学（GHMD）算法。本文计算了威尔逊圈到$O(g^8)$的微扰展开。前两个系数的结果（直到$O(g^4)$）具有高精度并且与精确值匹配良好。接下来的两个系数可以确定，甚至可以外推到大的$N$，在那里它们应该与无限晶格上普通杨-米尔斯理论的相应系数一致。我们的分析表明，对于较大的$N$，每个系数的概率分布趋向于高斯分布。结果使我们能够建立的要求，将这种分析扩展到更高阶。

英文摘要：

We present the results of an exploratory study of the numerical stochastic perturbation theory (NSPT) applied to the four dimensional twisted Eguchi-Kawai (TEK) model. We employ a Kramers type algorithm based on the Generalized Hybrid Molecular Dynamics (GHMD) algorithm. We have computed the perturbative expansion of square Wilson loops up to $O(g^8)$. The results of the first two coefficients (up to $O(g^4)$) have a high precision and match well with the exact values. The next two coefficients can be determined and even extrapolated to large $N$, where they should coincide with the corresponding coefficients for ordinary Yang-Mills theory on an infinite lattice. Our analysis shows the behaviour of the probability distribution for each coefficient tending to Gaussian for larger $N$. The results allow us to establish the requirements to extend this analysis to much higher order.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑