Landau 规范下鬼-胶子顶点的软胶子极限：来自格点模拟的纯 Yang-Mills SU(3) 理论结果
The soft-gluon limit of the Landau gauge ghost-gluon vertex: results for pure Yang-Mills SU(3) theory from lattice simulations
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中文总结 AI 辅助
本研究通过格点模拟计算纯 Yang-Mills SU(3) 理论中 Landau 规范下的鬼-胶子顶点形状因子，发现其在约 1 GeV 处有峰值，红外被抑制，高动量趋近常数，与 SU(2) 结果一致。
中文摘要 AI 辅助
本工作报告了使用格点模拟和 Landau 规范对纯 Yang-Mills SU(3) 规范群计算鬼-胶子顶点。模拟仅访问描述该顶点的形状因子之一。该形状因子通过使用大统计量的规范场组态进行估计，并采用两种不同的格点间距和两种不同的体积来检查有限尺寸效应。此外，计算显示了使用格点微扰论而非其连续版本以修正旋转对称性破缺的重要性。所测量的裸格点形状因子在所有组态中在误差范围内相容。该形状因子在动量约 1 GeV 处具有最大值，在红外区被抑制，在高动量下与常数行为相容，与 SU(2) 规范群的相应格点估计良好一致。
英文摘要
This work reports on the computation of the ghost-gluon vertex for the pure Yang-Mills SU(3) gauge group, using lattice simulations and the Landau gauge. The simulations access only one of the form factors that describes the vertex. The form factor is estimated using large statistical ensembles of gauge configurations, with two different lattice spacings and two different volumes to check for finite size effects. Moreover, the calculation shows the importance of using lattice perturbation theory, instead of its continuum version, to correct for the breaking of rotational symmetry. The measured bare lattice form factors are compatible, within errors, for all the ensembles. The form factor has a maximum at momentum $\sim 1$ GeV, is suppressed in the infrared and is compatible with a constant behaviour at high momenta, in good agreement with the corresponding lattice estimations for the SU(2) gauge group.
发表机构
- Centre for Mathematical Sciences, University of Plymouth（普利茅斯大学数学科学中心）
- CFisUC, Departament of Physics, University of Coimbra（科英布拉大学物理系CFisUC）
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