The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions
The low-lying mass spectrum of the N = 1 SU(2) SUSY Yang-Mills theory with Wilson fermions
复制标题
威尔逊费米子 N = 1 SU(2) SUSY Yang-Mills 理论的低位质谱
DOI：
10.1140/epjc/s2004-02081-2
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
R. Peetz
中科院分区：
文献类型：
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作者：
F. Farchioni;R. Peetz
摘要。本文分析了N = 1 SU(2) SUSY Yang-Mills理论（SYM）束缚态的低能谱。这项工作继续通过蒙特卡罗模拟在动态胶子的Wilson离散中研究SYM的非微扰性质。胶子的动力学包含在动态费米子的两步多玻色子算法（TSMB）中。在$\beta = 2.3$和$\kappa = 0.194$的$16^3\cdot 32$晶格上生成了一组新的配置。分析还包括先前在$\kappa = 0.1925, 0.194$和0.1955处较小的（$12^3\cdot 24$）晶格上生成的配置集。在低能拉格朗日预测的指导下，我们考虑了自旋1/2、标量和伪标量粒子。SYM的频谱是一个具有挑战性的研究课题，因为它具有极大的噪声相关器。特别地，类介子相关器包含不相连的贡献。$16^3\cdot 32$晶格的较大时间扩展允许在有效质量中观察到双态信号。通过比较两种晶格尺寸的结果来监测有限体积效应。
Abstract.We analyze the low energy spectrum of bound states of the N = 1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with dynamical gluinos. The dynamics of the gluinos is included by the Two-Step Multi-Bosonic Algorithm (TSMB) for dynamical fermions. A new set of configurations has been generated on a $16^3\cdot 32$ lattice at $\beta = 2.3$ and $\kappa = 0.194$. The analysis also includes sets of configurations previously generated on a smaller ($12^3\cdot 24$) lattice at $\kappa = 0.1925, 0.194$ and 0.1955. Guided by predictions from low energy Lagrangians, we consider spin-1/2, scalar and pseudoscalar particles. The spectrum of SYM is a challenging subject of investigation because of the extremely noisy correlators. In particular, meson-like correlators contain disconnected contributions. The larger time-extension of the $16^3\cdot 32$ lattice allows to observe two-state signals in the effective mass. Finite-volume effects are monitored by comparing results from the two lattice sizes.