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arXiv 0911.0595hep-lat
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超对称Yang-Mills理论的模拟

Simulations of supersymmetric Yang-Mills theory

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)理论的低激发谱的数值模拟结果。我们使用树级Symanzik改进的规范作用量和威尔逊费米子与粗壮的涂抹的规范链接中的威尔逊-狄拉克运营商。配置产生的两步多项式混合蒙特卡罗(TS-PHMC)算法。我们在β=1.6时对尺寸高达24^3x48的晶格进行了模拟。使用Sommer尺度为r_0=0.5 fm的QCD单元,晶格间距约为a~0.09 fm,晶格的空间范围对应于2.1 fm以控制有限尺寸效应。在最轻的模拟胶子质量,我们的结果表明,质量最轻的胶子胶结合态,这是相当重的值比它可能的超伙伴。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:

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 are reported. We use the tree-level Symanzik improved gauge action and Wilson fermions with stout smearing of the gauge links in the Wilson-Dirac operator. The configurations are produced with the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC) algorithm. We performed simulations on lattices up to a size of 24^3x48 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 to control finite size effects. At the lightest simulated gluino mass our results indicate a mass for the lightest gluino-glue bound state, which is considerably heavier than the values obtained for its possible superpartners. Whether supermultiplets are formed remains to be studied in upcoming simulations.

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。

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