论文标题
来自Colour-Kinematic二元性的Kaluza-Klein用于大型领域
Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
论文作者
论文摘要
我们考虑了一类庞大的大型四维有效理论，描述了无用的大量旋转1状态的无限塔，与无质量旋转1和自旋0相互作用。选择该频谱与Kaluza-Klein理论在5d Yang-Mills中的减少相同，以确保在任何可能的双重副本表单中消失，以确保缺乏任何有弹性的pules。有效理论的特征是不同场之间的多个不同的耦合，这些耦合不受对称性和低能标准的影响。 Remarkably, by demanding that the scattering amplitudes preserve colour-kinematics duality for different scattering processes, required for the existence of a massive double copy, we find that our 4d Lagrangian is fixed uniquely to the Kaluza-Klein compactification of 5d Yang-Mills theory together with its known double copy consistent higher derivative operators.
We consider a broad class of massive four dimensional effective theories describing an infinite tower of charged massive spin 1 states, interacting with massless spin 1 and spin 0. The spectrum is chosen to be the same as that appears in the Kaluza-Klein theory reduction of 5d Yang-Mills to ensure the absence of any spurious poles in a possible double copy formulation. The effective theories are characterized by multiple different couplings between different fields which are unconstrained by symmetries and low energy criteria. Remarkably, by demanding that the scattering amplitudes preserve colour-kinematics duality for different scattering processes, required for the existence of a massive double copy, we find that our 4d Lagrangian is fixed uniquely to the Kaluza-Klein compactification of 5d Yang-Mills theory together with its known double copy consistent higher derivative operators.
