论文标题
特殊标量理论中波函数的软限制
Soft limits of the wavefunction in exceptional scalar theories
论文作者
论文摘要
我们研究具有非线性实现的对称性的标量场理论中平坦空间波功能的结构。这些对称性意味着通过将一个外部动量缩放到零的极限的波形系数满足的软定理。在非线性Sigma模型,迪拉克出生的菲尔德和加利昂标量理论中阐明了这些软定理的结构后,我们将它们与有关波函数的奇异性结构相结合,以引导这些理论的波形系数。我们通过两种类型的递归关系进一步对这种结构进行系统化:一种利用扁平空间散射幅度加上有关软限制的最小信息,以及一种不需要振幅输入但确实需要过高的软信息的替代信息。
We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the external momenta is scaled to zero. After elucidating the structure of these soft theorems in the nonlinear sigma model, Dirac-Born-Infeld, and galileon scalar theories, we combine them with information about the singularity structure of the wavefunction to bootstrap the wavefunction coefficients of these theories. We further systematize this construction through two types of recursion relations: one that utilizes the flat space scattering amplitude plus minimal information about soft limits, and an alternative that does not require amplitude input, but does require subleading soft information.