近日，荷兰格罗宁根大学Yang Li团队研究了在双重复制的特殊场理论中隐藏的零。2025年4月16日，《高能物理杂志》发表了这一成果。

Arkani-Hamed等人和Cao等人最近发现，Tr（Φ3）的颜色有序散射振幅、非线性sigma模型和Yang-Mills标量在特定位点消失。研究组基于这一观察结果，证明了除了颜色排序之外，散射振幅还可以显示更高阶的隐藏零点。第一个例子是重力耦合标量的味道配对振幅，作为杨-米尔斯标量的双拷贝。

另外两种情况是Dirac Born-Infeld和特殊的Galileon，它们是阿德勒零点高阶非线性西格玛模型的自然推广。研究组证明了这些理论的振幅都分解为接近零极限的低点物体，并讨论了它们的解释。最后，他们对隐藏零点的一般情况进行了评论，并证明了它们在双拷贝下的关系。

附：英文原文

Title: Hidden zeros in exceptional field theories from double copy

Author: Li, Yang, Roest, Diederik, ter Veldhuis, Tonnis

Issue&Volume: 2025-04-16

Abstract: It was recently discovered by Arkani-Hamed et al. and Cao et al. that the colour-ordered scattering amplitudes of Tr(Φ3), the non-linear sigma model and Yang-Mills-scalar vanish at specific loci. We build on this observation and demonstrate that, beyond colour ordering, scattering amplitudes can display higher-order hidden zeros. A first example are the flavour-paired amplitudes of gravity-coupled scalars, as a double copy of Yang-Mills-scalar. The other two cases are Dirac-Born-Infeld and the special Galileon, which are the natural generalisations of the non-linear sigma model with higher orders of the Adler zero. We demonstrate that the amplitudes of these theories all factorize into lower-point objects in the near-zero limit, and discuss their interpretation. Finally, we comment on the general picture of hidden zeros and prove their relation under the double copy.

DOI: 10.1007/JHEP04(2025)121

Source: https://link.springer.com/article/10.1007/JHEP04(2025)121