标题： 广义相对论历史理论：时空微分同胚和约束的狄拉克代数 显示英文标题

标题： General relativity histories theory: Spacetime diffeomorphisms and the Dirac algebra of constraints

摘要： 我们证明，在相空间历史版本的规范广义相对论中，时空微分同胚群和狄拉克代数的表示都出现了。这是历史上以前引入的新时间结构的广义相对论类比：即在非相对论物理中存在两种类型的时间平移；以及在相对论场论中存在两个不同的庞加莱群。 显示英文摘要

摘要： We show that representations of the group of spacetime diffeomorphism and the Dirac algebra both arise in a phase-space histories version of canonical general relativity. This is the general-relativistic analogue of the novel time structure introduced previously in history theory: namely, the existence in non-relativistic physics of two types of time translation; and the existence in relativistic field theory of two distinct Poincare groups.