标题： 引力Regge振幅的有限能量求和规则 显示英文标题

标题： Finite energy sum rules for gravitational Regge amplitudes

摘要： 我们发展了一个框架，基于有限能量求和规则（FESR），来推导引力Regge振幅的一致性约束，这些规则直接将有限紫外标度下的引力Regge振幅与红外物理联系起来，而不会受到超Planck尺度物理的影响。为了说明这一点，我们考虑了与引力耦合的相同无质量标量的四点散射。首先，我们推导出多个FESR而不依赖于$s\text{-}t\text{-}u$的置换不变性。然后，我们利用FESR、 crossing 对称性以及其他原理如幺正性，来推导Regge参数的限制。这些限制在四维时空下导致红外有限的引力正性限制。 显示英文摘要

摘要： We develop a framework to derive consistency constraints on gravitational Regge amplitudes based on the finite energy sum rules (FESRs), which directly connect gravitational Regge amplitudes at a finite ultraviolet scale with infrared physics without suffering from super-Planckian physics. For illustration, we consider four-point scattering of an identical massless scalar coupled to gravity. First, we derive multiple FESRs without relying on the $s\text{-}t\text{-}u$ permutation invariance. We then make use of FESRs, crossing symmetry, and other principles such as unitarity, to derive bounds on the Regge parameters. The bounds result in infrared finite gravitational positivity bounds in four spacetime dimensions.