标题： 量子引力中高能散射的模型 显示英文标题

标题： A Model for High Energy Scattering in Quantum Gravity

摘要： 我们提出一个量子引力理论中高能两体散射的模型。 该模型适用于质心系能量高于相关普朗克尺度的情况。 在初始态质心系能量和总电荷对应的施瓦茨希尔德半径以下的碰撞参数处，截面由一个非弹性过程主导，其中形成一个大的黑洞。 然后黑洞通过霍金辐射衰变。 由于热衰变到高能两体态的相空间较小，这些碰撞参数处的弹性截面被高度抑制。 对于非常大的碰撞参数，振幅由归一化的单个引力子交换主导。 在中间碰撞参数处，散射更复杂，但由于施瓦茨希尔德半径随能量增加而增大，我们推测使用场方程的非线性经典解的更复杂的eikonal计算可能在所有更大的碰撞参数处提供一个好的近似。 我们讨论了在低尺度量子引力和大维度理论中，黑洞产生可观察的程度。 显示英文摘要

摘要： We present a model for high energy two body scattering in a quantum theory of gravity. The model is applicable for center of mass energies higher than the relevant Planck scale. At impact parameters smaller than the Schwarzchild radius appropriate to the center of mass energy and total charge of the initial state, the cross section is dominated by an inelastic process in which a single large black hole is formed. The black hole then decays by Hawking radiation. The elastic cross section is highly suppressed at these impact parameters because of the small phase space for thermal decay into a high energy two body state. For very large impact parameter the amplitude is dominated by eikonalized single graviton exchange. At intermediate impact parameters the scattering is more complicated, but since the Schwarzchild radius grows with energy, we speculate that a more sophisticated eikonal calculation which uses the nonlinear classical solutions of the field equations may provide a good approximation at all larger impact parameters. We discuss the extent to which black hole production will be observable in theories with low scale quantum gravity and large dimensions.