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arXiv 1003.2073hep-lat
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用Symanzik改进规范action和Stout涂抹模拟4d N=1超对称Yang-Mills理论

Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing

K. Demmouche, F. Farchioni, A. Ferling, I. Montvay, G. Münster, E. E. Scholz, J. Wuilloud

摘要:

本文报道了在含有轻动力学胶子的格点上,对四维N=1 SU(2)超对称Yang-Mills(SYM)理论的低激发谱进行数值模拟的结果。在规范部门的树级Symanzik改进的规范作用量的使用,而我们使用威尔逊制定的费米子部门与粗壮的涂抹的规范链接在威尔逊-狄拉克运营商。用两步多项式混合蒙特卡罗(TS-PHMC)修正算法生成规范组态系综。我们在$β=1.6$上对尺寸高达24^3 x 48的大型晶格进行了模拟。使用QCD单位与索默尺度被设置为r_0 = 0.5 fm,晶格间距约为a ~ 0.09 fm,晶格的空间范围对应于2.1 fm。在最轻的模拟胶子质量下,自旋为1/2的胶子-胶子束缚态似乎比它预期的超伙伴赝标束缚态重得多。超多重态是否形成还有待于在即将到来的模拟中研究。

英文摘要:

We report on the results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos. In the gauge sector the tree-level Symanzik improved gauge action is used, while we use the Wilson formulation in the fermion sector with stout smearing of the gauge links in the Wilson-Dirac operator. The ensembles of gauge configurations were produced with the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC) updating algorithm. We performed simulations on large lattices up to a size of 24^3 x 48 at $β=1.6$. Using QCD units with the Sommer scale being set to r_0 = 0.5 fm, the lattice spacing is about a ~ 0.09 fm, and the spatial extent of the lattice corresponds to 2.1 fm. At the lightest simulated gluino mass the spin-1/2 gluino-glue bound state appeared to be considerably heavier than its expected super-partner, the pseudoscalar bound state. Whether supermultiplets are formed remains to be studied in upcoming simulations.

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