标题： 自旋为质量粒子的局部四点散射振幅的Regge约束 显示英文标题

标题： Regge constraints on local four-point scattering amplitudes of massive particles with spin

摘要： 在本工作中，我们对所有可能的局部四点耦合进行分类，这些耦合与树级平坦空间$2 \rightarrow 2$散射相关，散射的外部粒子为自旋一和自旋二的宏观粒子，并且在大$s$和固定 t 时不会增长得比$s^2$更快。对树级 S 矩阵局部增长的这种运动学约束被称为经典 Regge 增长准则或 CRG。 我们首先构建自旋一和自旋二的树级接触 S 矩阵，作为极化张量和动量在由 Mandelstam 不变量生成的多项式环上的模块。 然后我们考虑一个一般的散射过程，其中外部散射粒子具有不同的质量但相同的自旋，并对此空间进行约束以获得有限数量的 CRG 允许的局部拉格朗日量。 我们的具体结果主要是针对$D\geq 8$，但所描述的过程很容易推广到低维空间，以包括低维的宇称破坏结构。 当我们专门针对相同散射并限制为宇称偶数耦合时，CRG 允许结构的空间会减少，在$D=4$中。 我们证明了涉及 de Rham-Gabadadze-Tolley 质量引力中交换图和接触项的树级散射振幅违反 CRG，除非理论参数取特殊值。 在大$N$共形场理论 (CFTs) 的背景下，CRG 允许的 S 矩阵也可以解释为与混沌界限一致的体部$AdS$反常项。 因此，我们分类的结构可以看作是在大$N$ CFT 中非守恒自旋一和自旋二算符四点函数的共形场论逆公式背景下出现的歧义。 显示英文摘要

摘要： In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$ and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for $D\geq 8$ but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in $D=4$. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large $N$ conformal field theories (CFTs), can also be interpreted as bulk $AdS$ counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large $N$ CFTs.