格罗宁根大学Tianzhi Wang团队研究出有效场论之间的几何对偶性第一部分散射振幅。2025年12月2日出版的《高能物理杂志》发表了这项成果。

课题组提出了一种新型的对偶性，它将一系列已知的具有偶数多重标量振幅的理论联系起来：它将耦合到特定标量物质扇区的Yang-Mills理论与对称协集空间上的非线性sigma模型、（多重）Dirac-Born-Infeld理论和特殊的伽利略理论联系起来。这种对偶性是借助经典运动方程的协变公式来表现的，该公式具有接触四次标量自耦合和在基本或复合规范场的动力背景下的传播。这是与一组本构关系，反映理论的目标空间的内在或外在的几何增加。底层几何结构的普遍性允许不同理论之间的明确映射。

附：英文原文

Title: Geometric duality between effective field theories. Part I. Scattering amplitudes

Author: Brauner, Tom, Li, Yang, Roest, Diederik, Wang, Tianzhi

Issue&Volume: 2025-12-02

Abstract: We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a symmetric coset space, the (multiflavor) Dirac-Born-Infeld theory, and the special Galileon theory. The duality is manifested with the help of a covariant formulation of the classical equations of motion that features a contact quartic scalar self-coupling combined with propagation on a dynamical background of elementary or composite gauge fields. This is augmented with a set of constitutive relations that reflect the intrinsic or extrinsic geometry of the target space of the theory. The universality of the underlying geometric structure allows for an unambiguous mapping between different theories.

DOI: 10.1007/JHEP12(2025)013

Source: https://link.springer.com/article/10.1007/JHEP12(2025)013