论文标题
限制高旋转S型
Constraining higher-spin S-matrices
论文作者
论文摘要
有各种各样的无关定理会严重限制局部高旋转理论的存在，而平面空间中的非平凡s-matrix。由于存在具有非平凡散射幅度的较高自旋Yang-Mills理论，因此重新访问Weinberg的软定理是有意义的 - S-Matrix的Lorentz不变性的直接后果，它不利用单位性和平等不稳定的优势。通过使用手性代表 - 源自扭曲理论的表示形式，我们表明Weinberg的软定理可以逃避，而非平凡的高旋转s-matrix是可能的。特别是，我们表明，温伯格的软定理与相互作用而不是旋转中的衍生物数量密切相关。我们还观察到，S-Matrix的量规不变性所施加的所有约束都伴随着发射粒子的软动量中的多项式，其中软动量中的zeroth顺序是电荷保护定律。
There are various no-go theorems that tightly constrain the existence of local higher-spin theories with non-trivial S-matrix in flat space. Due to the existence of higher-spin Yang-Mills theory with non-trivial scattering amplitudes, it makes sense to revisit Weinberg's soft theorem - a direct consequence of the Lorentz invariance of the S-matrix that does not take advantage of unitarity and parity invariance. By working with the chiral representation - a representation originated from twistor theory, we show that Weinberg's soft theorem can be evaded and non-trivial higher-spin S-matrix is possible. In particular, we show that Weinberg's soft theorem is more closely related to the number of derivatives in the interactions rather than spins. We also observe that all constraints imposed by gauge invariance of the S-matrix are accompanied by polynomials in the soft momentum of the emitted particle where the zeroth order in the soft momentum is charge conservation law.
