论文标题
循环量子重力中的相干状态和粒子散射
Coherent States and Particle Scattering in Loop Quantum Gravity
论文作者
论文摘要
量子场理论为我们提供了计算散射幅度的手段。近年来，戏剧性的新开发导致了对此类计算的极大简化。这是基于在阳米尔斯理论中散射无质量规玻色子的背景下发现“ amplituhedron”的。循环量子重力面临的主要挑战之一是缺乏对粒子散射过程的清晰描述以及与平面QFT的连接。在这里，我们在LQG中显示了散射$ n $ basseless颗粒的运动学数据的空间与$ u（n）$相干状态之间的对应关系。这种对应关系使我们能够根据生活在阳性格拉曼尼亚的激发动力学来提供量子重力理论的轮廓。
Quantum field theory provides us with the means to calculate scattering amplitudes. In recent years a dramatic new development has lead to great simplification of such calculations. This is based on the discovery of the``amplituhedron'' in the context of scattering of massless gauge bosons in Yang-Mills theory. One of the main challenges facing Loop Quantum Gravity is the lack of a clear description of particle scattering processes and a connection to flat space QFT. Here we show a correspondence between the space of kinematic data of the scattering $ N $ massless particles and $ U(N) $ coherent states in LQG. This correspondence allows us to provide the outlines of a theory of quantum gravity based upon the dynamics of excitations living on the the positive Grassmannian.
