论文标题
通用本地运营商的非平面形式通过壳单位性和颜色界面二重性
Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
论文作者
论文摘要
形式因素，涉及本地操作员和渐近粒子状态的数量，都包含操作员光谱和壳振幅的信息。到目前为止，对形态因素的研究主要集中在较大的NC平面极限上，除了少数情况下，Sudakov的形式。在本文中，我们与通用本地操作员讨论了全彩色依赖形式的系统构建。我们研究了形式的颜色分解，并讨论使用壳单位性切割方法的一般策略。作为混凝土应用，我们计算了n = 4 Syms中的SU（2）扇区中半BP运算符和非BPS运算符的整个两环非平面最小形式。另一个重要方面是研究具有高长度运算符的形式因素的色系（CK）二元性。针对两环半BP的最小符号的表现为明确的CK双重表示，并具有任意数量的外腿。全颜色的双环形颜色效果结果为双环N点振幅的红外偶极子公式提供了独立的检查。通过提取紫外线差异，我们还重现了已知的两环非平面SU（2）扩张算子。至于有限的剩余功能，有趣的是，发现非平面部分包含超出已知平面结果的新最大先验部分。
Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large Nc planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in SU(2) sector in N=4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors with high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor results provide an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergence, we also reproduce the known two-loop non-planar SU(2) dilatation operator. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.
