标题： 引力的一致规范量子化：从BRST不变的相干态恢复经典广义相对论 显示英文标题

标题： Consistent Canonical Quantization of Gravity: Recovery of Classical GR from BRST-invariant Coherent States

摘要： 我们对广义相对论进行规范量子化，作为低于普朗克尺度的有效量子场论，在BRST不变框架内进行。 我们表明，将约束提升为辅助场的运动方程会导致健康的哈密顿流。 特别是，我们表明爱因斯坦引力的经典性质，如模边界贡献的零哈密顿量，仅在适当的物理态中作为期望值实现。 最重要的是，物理性被证明并不意味着关联函数的平凡时间演化。 在目前的方法中，我们在闵可夫斯基真空周围一次性地对理论进行量子化，并将其他可能的经典背景视为BRST不变的相干态。 这对于宇宙学时空尤其重要，因为它揭示了在普通半经典处理中不可见的特征。 真空的庞加莱不变性，对于我们的量子化来说是必不可少的，这为自发破缺的超对称性提供了强有力的动机。 显示英文摘要

摘要： We perform canonical quantization of General Relativity, as an effective quantum field theory below the Planck scale, within the BRST-invariant framework. We show that the promotion of constraints to dynamical equations of motion for auxiliary fields leads to the healthy Hamiltonian flow. In particular, we show that the classical properties of Einstein's gravity, such as vanishing Hamiltonian modulo boundary contribution, is realized merely as an expectation value in appropriate physical states. Most importantly, the physicality is shown not to entail trivial time-evolution for correlation functions. In the present approach we quantize the theory once and for all around the Minkowaski vacuum and treat other would-be classical backgrounds as BRST-invariant coherent states. This is especially important for cosmological spacetimes as it uncovers features that are not visible in ordinary semi-classical treatment. The Poincar\'e invariance of the vacuum, essential for our quantization, provides strong motivation for spontaneously-broken supersymmetry.