1-循环颜色结构和阳光图
1-loop Color structures and sunny diagrams
摘要：
最近在arXiv：1403.6837中确定了胶子散射的树级色结构空间及其在排列下的变换性质。在这里，我们将讨论推广到循环，展示了一个任意的色图减少到其真空骨架加射线。对于1-循环有没有残留的关系，我们确定的空间的颜色结构都图解和代数方面的某些阳光图。我们给出了特征多项式的母函数和$3 \le n \le 9$外腿的不可约表示列表。最后，我们给出了一个新的证明的1-循环洗牌关系的基础上循环洗牌和分裂操作。
英文摘要：
Recently the space of tree level color structures for gluon scattering was determined in arXiv:1403.6837 together with its transformation properties under permutations. Here we generalize the discussion to loops, demonstrating a reduction of an arbitrary color diagram to its vacuum skeleton plus rays. For 1-loop there are no residual relations and we determine the space of color structures both diagrammatically and algebraically in terms of certain sunny diagrams. We present the generating function for the characteristic polynomials and a list of irreducible representations for $3 \le n \le 9$ external legs. Finally we present a new proof for the 1-loop shuffle relations based on the cyclic shuffle and split operations.
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