论文标题
戈德石模式的风味二元性双重性
Flavour-kinematics duality for Goldstone modes
论文作者
论文摘要
三种标量有效的场理论在非线性对称性，软限制和壳上的构造性方面具有特殊的特性，这些特性是由其金石性质产生的：非线性$σ$ -MODEL，MULTI-DBI理论和特殊的Galileon。我们讨论了这些理论如何通过口味式二元性二元性相关，类似于重力和衡量理论之间的颜色二元性二元性。在外壳级别，我们确定了三种理论之间的特定映射，至关重要的是它们的非线性对称性。同样，我们演示了壳的振幅如何将分量分解到BCJ分子中描述风味和标量的运动学版本，自然会导致将Graditon Exchange纳入$ SO（m，n）$ non-linear $σ$ -model。最后，我们彼此映射这些分子，并评论与张量运动学的类似关系。我们的结果突出了一个共同的结构，该结构是不同戈德石模式的物理学的基础。
Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear $σ$-model, multi-DBI theory and the special Galileon. We discuss how these theories are related via flavour-kinematics duality, analogous to the colour-kinematics duality between gravity and gauge theories. At the off-shell level, we identify a specific mapping between the three theories that is crucially dependent on their non-linear symmetries. Similarly, we demonstrate how the on-shell amplitudes factorise into BCJ numerators describing flavour and a scalar version of kinematics, naturally leading to the inclusion of graviton exchange in the $SO(M,N)$ non-linear $σ$-model. Finally, we map those numerators onto each other, and comment on a similar relation to tensor kinematics. Our results highlight a common structure that underlies the physics of different Goldstone modes.
