标题： 软动量下的非微扰四胶子顶点 显示英文标题

标题： Nonperturbative four-gluon vertex in soft kinematics

摘要： 我们对与四胶子顶点在经典张量上的投影相关的形式因子进行了非微扰研究，针对一组具有一个零外动量和三个任意外动量的动力学。 该处理基于控制此顶点的施温格-戴森方程，并涉及一万份规范场构型的大体积格点模拟。 两种方法中采用的关键假设是“平面退化”，它通过单一变量对各种配置进行分类，从而实现它们有意义的“平均”。 两种方法的结果显示出显著的一致性，揭示了红外区域平均形式因子的显著抑制。 对精确平面退化的偏差进行了详细讨论，并使用补充变量以实现更准确的描述。 通过这一特殊形式因子定义的有效电荷在两种方法中均被计算，所得结果完全一致。 显示英文摘要

摘要： We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertex on its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. The treatment is based on the Schwinger-Dyson equation governing this vertex, and a large-volume lattice simulation, involving ten thousand gauge field configurations. The key hypothesis employed in both approaches is the ``planar degeneracy'', which classifies diverse configurations by means of a single variable, thus enabling their meaningful ``averaging''. The results of both approaches show notable agreement, revealing a considerable suppression of the averaged form factor in the infrared. The deviations from the exact planar degeneracy are discussed in detail, and a supplementary variable is used to achieve a more accurate description. The effective charge defined through this special form factor is computed within both approaches, and the results obtained are in excellent agreement.