论文标题
Kaluza-Klein散射幅度的巨大色系二元性和双重拷贝
Massive Color-Kinematics Duality and Double-Copy for Kaluza-Klein Scattering Amplitudes
论文作者
论文摘要
我们研究了在环形紧凑型下的大规模kaluza-klein（KK）状态的散射幅度。我们提出了一种转移方法，以定量得出从相应的无质量振幅中的巨大的KK仪表和KK重力的散射幅度中的散射幅度。通过这些，我们通过在现场理论框架内扩展了无质量散射幅度的双层关系，包括BCJ和CHY方法，并建立与庞大的KK KLT关系的联系，从而构建了巨大的KK散射幅度。我们介绍了$ n $ n $ - 点KK孔/重力散射幅度的大规模BCJ型双层拷贝结构，作为应用，我们明确地得出了四点KK散射幅度以及五点KK散射放大器。我们进一步研究了这些巨大的散射幅度的非层次主义极限，并与重型外部KK状态一起讨论了压缩的额外维度对低能量重力潜力的影响。最后，我们分析了四点和$ n $ - 点质谱条件，并新提出了一种新型的小组理论方法，以证明只有环形紧凑型的KK理论才能满足这些条件，以直接在现场理论框架中直接实现大量的双层拷贝。
We study the scattering amplitudes of massive Kaluza-Klein (KK) states under toroidal compactification. We present a shifting method to quantitatively derive the scattering amplitudes of massive KK gauge bosons and KK gravitons from the corresponding massless amplitudes in the noncompactified higher dimensional theories. With these we construct the massive KK scattering amplitudes by extending the double-copy relations of massless scattering amplitudes within the field theory framework, including both the BCJ and CHY methods, and build up their connections to the massive KK KLT relations. We present the massive BCJ-type double-copy construction of the $N$-point KK gauge boson/graviton scattering amplitudes, and as the applications we derive explicitly the four-point KK scattering amplitudes as well as the five-point KK scattering amplitudes. We further study the nonrelativistic limit of these massive scattering amplitudes with the heavy external KK states and discuss the impact of the compactified extra dimensions on the low energy gravitational potential. Finally, we analyze the four-point and $N$-point mass spectral conditions and newly propose a novel group theory approach to prove that only the KK theories under toroidal compactification can satisfy these conditions for directly realizing massive double-copy in the field theory framework.
