发表机构
Science and Technology Directorate, U.S. Department of Homeland Security（科学和技术局，美国国土安全部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究证明纯杨-米尔斯理论中一圈六胶子振幅无法实现维度无关的局部色-运动学对偶，通过割分析揭示接触修正的系数关系与物理残差矛盾，排除了满足特定表示条件的多项式分子族。
AI 中文摘要
我们在纯杨-米尔斯理论中建立了一圈六胶子振幅的维度无关的色-运动学对偶的一个阻碍。最大割和五重割允许多项式解，但没有任何允许的接触修正能重现所需的四重割。我们考虑宇称偶的洛伦兹多项式分子，它们对任意横向外部极化是多线性的，具有常规的二次传播子、全局图恒等式和逐点形式色割等式。不施加任何特定维度的格拉姆恒等式。在包含一个极化内积的扇区中，更高割决定了完整的剩余接触自由度。每个这样的修正都满足一个精确的系数关系，而所需的物理残差违反了该关系，且与所选的更高割解无关。该违反与横向内部矢量态计数成正比，并且在其代数延拓的每个非零值处均不为零。动量齐次性将六次矛盾扩展到所有有限多项式次数。因此，保留这些表示条件的全重数多项式族被排除。
英文摘要
We establish an obstruction to dimension-independent local color-kinematics duality for the one-loop six-gluon amplitude in pure Yang-Mills theory. The maximal and fivefold cuts admit a polynomial solution, but no allowed contact correction reproduces a required fourfold cut. We consider parity-even Lorentz-polynomial numerators, multilinear in arbitrary transverse external polarizations, with conventional quadratic propagators, global graph identities, and pointwise formal-color cut equality. No dimension-specific Gram identities are imposed. In the sector containing one polarization inner product, the higher cuts determine the complete remaining contact freedom. Every such correction obeys an exact coefficient relation that the required physical residual violates, independently of the chosen higher-cut solution. The violation is proportional to the transverse internal vector-state count and is nonzero at every nonzero value of its algebraic continuation. Momentum homogeneity extends the degree-six contradiction to all finite polynomial degrees. An all-multiplicity polynomial family retaining these representation conditions is therefore excluded.
Comments30 pages, 5 tables
