标题： 正则量子广义相对论的相干态与无穷张量积延拓 显示英文标题

标题： Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension

摘要： 我们总结了一个最近提出的针对四维时空经典（半）经典极限的具体研究计划，该计划旨在研究正则的、Lorentzian的、连续的量子广义相对论。分析基于一组由图标记的新颖相干态。这些相干态与目前使用的Hilbert空间的无穷张量积（ITP）扩展完美契合。这种ITP构造使我们能够赋予理论的无限体积（热力学）极限严格的含义，而这一极限迄今为止一直难以触及。 显示英文摘要

摘要： We summarize a recently proposed concrete programme for investigating the (semi)classical limit of canonical, Lorentzian, continuum quantum general relativity in four spacetime dimensions. The analysis is based on a novel set of coherent states labelled by graphs. These fit neatly together with an Infinite Tensor Product (ITP) extension of the currently used Hilbert space. The ITP construction enables us to give rigorous meaning to the infinite volume (thermodynamic) limit of the theory which has been out of reach so far.