We perform a canonical transformation of fields that brings the Yang-Mills action in the light-cone gauge to a new classical action, which does not involve any triple-gluon vertices. The lowest order vertex is the four-point MHV vertex. Higher point vertices include the MHV and \( \overline{\mathrm{MHV}} \) vertices, that reduce to the corresponding amplitudes in the on-shell limit. In general, any n-leg vertex has 2 ≤ m ≤ n − 2 negative helicity legs. The canonical transformation of fields can be compactly expressed in terms of path-ordered exponentials of fields and their functional derivative. We apply the new action to compute several tree-level amplitudes, up to 8-point NNMHV amplitude, and find agreement with the standard methods. The absence of triple-gluon vertices results in fewer diagrams required to compute amplitudes, when compared to the CSW method and, obviously, considerably fewer than in the standard Yang-Mills action.

我们执行场的规范变换，将光锥规范中的杨米尔斯作用带入一个新的经典作用，它不涉及任何三胶子顶点。最低阶顶点是四点 MHV 顶点。更高的点顶点包括 MHV 和\( \overline{\mathrm{MHV}} \)顶点，它们减少到壳上限制中的相应幅度。一般来说，任何n边的顶点都有 2 ≤ m ≤ n -2个负螺旋腿。场的规范变换可以用场的路径有序指数及其函数导数来紧凑地表示。我们应用新动作来计算几个树级振幅，最多 8 点 NNMHV 振幅，并找到与标准方法的一致性。与 CSW 方法相比，三胶子顶点的缺失导致计算振幅所需的图表更少，并且显然比标准 Yang-Mills 动作少得多。