论文标题
有关SU(2)Yang-Mills理论中三个和四个维度的三灰线顶点的更多信息
More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
论文作者
论文摘要
在非扰动功能方法中,已经发现三绿色顶点是至关重要的成分。我们在三个维度中为所有张量结构和多个晶格参数提供了各种运动构型的更新晶格计算,以及在四个维度中的一个子集中,对于最小Landau仪表中的SU(2)Yang-Mills理论。在三个维度中,建立了树级形式因子的明确零交叉,并且观察到所有研究的形式因子的一致性,并观察到对红外的功率样差异。使用非常粗糙的晶格,甚至可以将其朝向最低点数15 meV。四个维度的结果与这种行为一致,但尚未足够深入的红外线建立它。
The three-gluon vertex has been found to be a vital ingredient in non-perturbative functional approaches. We present an updated lattice calculation of it in various kinematical configurations for all tensor structures and multiple lattice parameters in three dimensions, and in a subset of those in four dimensions, for SU(2) Yang-Mills theory in minimal Landau gauge. In three dimensions an unambiguous zero crossing for the tree-level form-factor is established, and consistency for all investigated form factors with a power-like divergence towards the infrared is observed. Using very coarse lattices this is even seen towards momenta as low as about 15 MeV. The results in four dimensions are consistent with such a behavior, but do not yet reach deep enough into the infrared to establish it.