论文标题
桥接阳性和S-Matrix引导界限
Bridging Positivity and S-matrix Bootstrap Bounds
论文作者
论文摘要
这项工作的主要目的是使用S-Matrix Bootstrap在非扰动两到两个振幅的空间中隔离有效的场理论散射幅度。我们通过在S-Matrix Bootstrap方法中引入有效野外理论截止的概念来做到这一点。我们引入了许多新颖的数值技术和对原始双重方法的改进。我们对完整的单位性边界进行了详细的比较与使用阳性和线性化单位性获得的界限。此外，我们通过引入合适的可观测物来讨论沿允许振幅空间边界的自旋零和紫外线优势的概念。最后，我们表明这种结构还导致了尺寸运算符的新颖界限，小于或等于六个。
The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory cutoff in the S-matrix Bootstrap approach. We introduce a number of novel numerical techniques and improvements both for the primal and the linearized dual approach. We perform a detailed comparison of the full unitarity bounds with those obtained using positivity and linearized unitarity. Moreover, we discuss the notion of Spin-Zero and UV dominance along the boundary of the allowed amplitude space by introducing suitable observables. Finally, we show that this construction also leads to novel bounds on operators of dimension less than or equal to six.
