约束高自旋S-矩阵
Constraining higher-spin S-matrices
摘要:
在平坦空间中,存在着各种各样的no-go定理,严格限制了具有非平凡S-矩阵的局部高自旋理论的存在性。由于具有非平凡散射振幅的高自旋杨-米尔斯理论的存在,重新审视温伯格的软定理是有意义的--这是S矩阵的洛伦兹不变性的直接结果,它没有利用酉性和宇称不变性。通过与手征表示-一个表示起源于扭量理论,我们表明,温伯格的软定理可以回避和非平凡的高自旋S-矩阵是可能的。特别是,我们表明,温伯格的软定理是更密切相关的相互作用,而不是自旋的衍生物的数量。我们还观察到,所施加的规范不变性的S-矩阵的所有约束都伴随着多项式的软动量的发射粒子的软动量的零阶是电荷守恒定律。
英文摘要:
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.
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