arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.08248hep-lathep-ph
收藏

再论SU中的三胶子顶点(2)三维和四维的Yang-Mills理论

More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions

Axel Maas, Milan Vujinović

摘要:

三胶子顶点已被发现是非微扰泛函方法的重要组成部分。本文对SU(2)Yang-Mills理论在最小Landau规范下的所有三维张量结构和多个晶格参数以及四维张量结构和多个晶格参数的一个子集,在各种运动学组态下进行了更新的晶格计算。在三个维度的树级形状因子的一个明确的零交叉的建立,并观察到的所有调查的形状因子的一致性与功率一样的发散朝向红外。使用非常粗糙的晶格,甚至可以看到动量低至约15 MeV。四维的结果与这种行为是一致的,但还没有深入到红外线来建立它。

英文摘要:

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.

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。

↑