arXiv 1507.075322015-07hep-phhep-th

离壳电流与色-运动对偶性

Off-shell Currents and Color-Kinematics Duality

Pierpaolo Mastrolia, Amedeo Primo, Ulrich Schubert, William J. Torres Bobadilla

备注：: Accepted version for publication in PLB. Manuscript extended: 19 pages, 15 figures; C/K duality for tree-level amplitudes in dimensional regularization added; references added; title modified
DOI：: 10.1016/j.physletb.2015.11.084

摘要：

通过对散射过程$gg\to ss, q\bar q, gg$的研究，详细阐述了与物质耦合的规范理论中离壳图的色运动学对偶性，并证明了在轴向规范中用Feynman规则建立的离壳图运动学分子的Jacobi关系，由于子图的贡献，可归结为色运动学违反项.当由雅可比关系连接的四个粒子位于其质量壳上且平方动量消失时，这种异常就会消失，无论是外部粒子还是切割粒子，其中颜色运动学二元性的有效性就会恢复。我们讨论了在直接建设的更高的多重分子满足颜色运动学身份在四个以及在$d$维的离壳分解的作用，后者采用四维形式主义的四维螺旋计划的变体。我们提供了明确的例子QCD过程$gg\to q\bar{q}g$。

英文摘要：

We elaborate on the color-kinematics duality for off-shell diagrams in gauge theories coupled to matter, by investigating the scattering process $gg\to ss, q\bar q, gg$, and show that the Jacobi relations for the kinematic numerators of off-shell diagrams, built with Feynman rules in axial gauge, reduce to a color-kinematics violating term due to the contributions of sub-graphs only. Such anomaly vanishes when the four particles connected by the Jacobi relation are on their mass shell with vanishing squared momenta, being either external or cut particles, where the validity of the color-kinematics duality is recovered. We discuss the role of the off-shell decomposition in the direct construction of higher-multiplicity numerators satisfying color-kinematics identity in four as well as in $d$ dimensions, for the latter employing the Four Dimensional Formalism variant of the Four Dimensional Helicity scheme. We provide explicit examples for the QCD process $gg\to q\bar{q}g$.

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