论文标题
带有点粒子重力的波浪力学
Wave mechanics for gravity with point-particles
论文作者
论文摘要
我们考虑与爱因斯坦重力及其规范量化相连的非权利论点粒子。从所得的Wheeler-Dewitt波方程中，我们确定了几何动力学的量子版本，其中粒子位置和3米的耦合演变由波函数引导。我们发现这种量子动力学意味着爱因斯坦方程的量子扩展。保守的能量量张量现在包含量子贡献。这种概念上的简单设置有望既可以推导到量子爱因斯坦方程的半经典和弱场近似值，因此对于开发量子校正到计算一般相对性很重要。
We consider non-relativistic point-particles coupled to Einstein gravity and their canonical quantization. From the resulting Wheeler-DeWitt wave equation we determine a quantum version of geometrodynamics, where the coupled evolution of particle positions and 3-metric is guided by the wave function. We find that this quantum dynamics implies a quantum extension of the Einstein equations. The conserved energy-momentum tensor now contains a quantum contribution. This conceptually-simple set up is promising both for deriving semiclassical and weak field approximations to the quantum Einstein equations and is thus important for the development of quantum corrections to computational general relativity.
