论文标题
重力恢复边界
Gravitational Regge bounds
论文作者
论文摘要
我们回顾了基本的假设，并阐明了导致重力散射幅度的重生的详细论点。除了单位性，分析性，次指数性和交叉外，与间隙的情况相比，最小的额外成分是假设，即在大冲击力参数处的散射由已知的半经典物理学控制。我们将振幅的重量与固定的转移动量结合在一起，并在其上涂抹。我们的基本结论是，重力散射幅度允许两次减法的分散关系。对于涂片振幅的子类，黑洞的形成将减法数减少为一个。最后，使用分散关系与两次减法，我们得出了相对论散射幅度的局部生长的边界。示意性地，本地界指出，振幅的增长速度不能超过$ s^2 $。
We review the basic assumptions and spell out the detailed arguments that lead to the bound on the Regge growth of gravitational scattering amplitudes. The minimal extra ingredient compared to the gapped case - in addition to unitarity, analyticity, subexponentiality, and crossing - is the assumption that scattering at large impact parameters is controlled by known semi-classical physics. We bound the Regge growth of amplitudes both with the fixed transferred momentum and smeared over it. Our basic conclusion is that gravitational scattering amplitudes admit dispersion relations with two subtractions. For a sub-class of smeared amplitudes, black hole formation reduces the number of subtractions to one. Finally, using dispersion relations with two subtractions we derive bounds on the local growth of relativistic scattering amplitudes. Schematically, the local bound states that the amplitude cannot grow faster than $s^2$.
