Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory

Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory
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超对称杨-米尔斯理论中的低位粒子能谱

DOI:
10.1007/jhep11(2013)061
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发表时间:
2013
影响因子:
5.4
通讯作者:
D. Sandbrink
D. Sandbrink
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
G. Bergner;I. Montvay;G. Münster;U. D. Özugurel;D. Sandbrink

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超对称理论的非微扰性质对超出标准模型的基本粒子物理学具有重要意义。这些理论的数值模拟具有理论和技术上的挑战。包含规范场的最小超对称模型是超对称Yang-Mills理论。我们给出了我们在晶格上研究这个模型中最轻粒子的质量的结果。核心问题是,连续统极限是否存在于不破缺的超对称中。在这种情况下,束缚态会形成质量简并的超多重态。在一定的晶格间距下,我们得到了胶子-胶粒子、介子态和标量胶球的质量。统计精度以及对有限尺寸效应和晶格伪影的控制明显优于以往的研究。考虑到统计和系统的不确定性,在我们目前的计算中,费米子和玻色子态的质量与简并超多重态的形成是一致的,这表明在连续体极限下不存在自发的超对称破缺。这个新发现与以前的结果相反。
The non-perturbative properties of supersymmetric theories are of interest for elementary particle physics beyond the Standard Model. Numerical simulations of these theories are associated with theoretical and technical challenges. The minimal supersymmetric model containing gauge fields is thesupersymmetric Yang-Mills theory. We present the results of our investigations of the masses of the lightest particles of this model on a lattice. The central question is, whether a continuum limit exists with unbroken supersymmetry. In this case the bound states would form mass-degenerate supermultiplets. We have obtained the masses of the gluino-glue particle, mesonic states, and the scalar glueball at a fine lattice spacing. The statistical accuracy as well as the control of finite size effects and lattice artefacts are significantly better than in all previous investigations. Taking the statistical and systematic uncertainties into account, the masses of the fermionic and bosonic states in our present calculations are consistent with the formation of degenerate supermultiplets, indicating that in the continuum limit there is no spontaneous supersymmetry breaking. This new finding is in contrast to previous results.
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