论文标题
重力振幅的有限能量总和
Finite energy sum rules for gravitational Regge amplitudes
论文作者
论文摘要
我们开发了一个框架，以根据有限的能量总规则（FESRS）来获得重力振幅的一致性约束，该框架直接连接有限的紫外线尺度的重力振幅，而没有遭受超级planckian物理学的困扰。为了说明，我们考虑了相同的无质量标量耦合到重力的四点散射。首先，我们在不依赖$ s \ text { - } t \ text { - } u $排列不变性的情况下得出多个FESR。然后，我们利用FESR，交叉对称性和其他原理（例如Unitarity）来得出Regge参数的界限。边界在四个时空维度中导致红外有限重力阳性边界。
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.
