标题： SU(Nc) 色空间中的正交多重态基底 显示英文标题

标题： Orthogonal multiplet bases in SU(Nc) color space

摘要： 我们提出了一种通用的方法，用于构造正交基，以计算出现在任意数量部分子和任意 Nc 值的 QCD 中的颜色结构。这些基使用厄米共轭胶子投影算符构建，投射到 SU(Nc) 不变的不可约子空间上。因此，每个基矢量都与 SU(Nc) 的一个不可约表示相关联。所得到的多重态基不仅正交，而且对于有限的 Nc 来说还是最小的。结果，对于涉及许多带色粒子的计算，相比于采用过完备基的标准方法，基矢量的数量显著减少。我们通过构造涉及总共 6 个外部带色部分子的所有过程的多重态基来举例说明该方法。 显示英文摘要

摘要： We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary Nc. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(Nc). Thus, each basis vector is associated with an irreducible representation of SU(Nc). The resulting multiplet bases are not only orthogonal, but also minimal for finite Nc. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons.