标题： 基于威尔逊线的胶动力学环级作用量 显示英文标题

标题： Wilson line-based action for gluodynamics at the loop level

摘要： 我们发展了基于威尔逊线的量子修正，该修正最近通过一种消除光锥杨-米尔斯作用量中三胶子顶点的变换而导出。 该作用量有效地计算具有树图级分裂螺旋度的高重数幅值，图的数量遵循Delannoy数列。 然而，三胶子顶点的缺失导致缺少圈贡献。 为了解决这个问题，我们使用一阶有效作用量方法发展了两种等价的方法，系统地将圈贡献纳入我们的作用量中。 在一种方法中，圈内仅有杨-米尔斯顶点，而在另一种方法中，圈内使用我们的作用量的相互作用顶点以及变换解的核。 除了证明这两种方法的等价性外，我们还通过计算之前无法计算的所有4点一阶幅值验证了前者的量子完备性。 我们的这两种方法很容易扩展到通过非线性经典场变换获得的杨-米尔斯理论的其他重新表述的量子修正。 显示英文摘要

摘要： We develop quantum corrections to the Wilson line-based action which we recently derived through a transformation that eliminates triple gluon vertices from the Yang-Mills action on the light-cone. The action efficiently computes high multiplicity tree-level split-helicity amplitudes with the number of diagrams following the Delannoy number series. However, the absence of the triple gluon vertices results in missing loop contributions. To remedy this, we develop two equivalent approaches using the one-loop effective action method to systematically incorporate loop contributions to our action. In one approach there are solely Yang-Mills vertices in the loop whereas the other uses the interaction vertices of our action along with the kernels of the solution of our transformation in the loop. In addition to demonstrating the equivalence of both approaches, we validated the quantum completeness of the former by computing all 4-point one-loop amplitudes which could not be previously computed. Both of our approaches are easily extendable to develop quantum corrections to other reformulations of the Yang-Mills theory obtained via non-linear classical field transformations eliminating interaction vertices.