论文标题
量子de Sitter Universe有多圆？
How round is the quantum de Sitter universe?
论文作者
论文摘要
我们研究了在早期工作中引入的量子RICCI曲率，该曲率是完全，四维的量子重力，它以因果动力学三角剖分（CDT）而非扰动。 CDT方法的一个关键发现是De Sitter型宇宙的出现，这是通过蒙特卡洛测量的成功匹配的全球尺度因子与半经典的迷你uperspace模型的成功匹配所证明的。一个重要的问题是，量子宇宙在其更本地的几何特性方面是否表现出半经典性。使用可观察到的新量子曲率，我们检查了量子几何的（准）局部特性是否类似于不断弯曲的空间。我们发现证据表明，在足够大的尺度上，曲率行为与四个球体的曲率行为兼容，从而增强了动态生成的量子宇宙的解释。
We investigate the quantum Ricci curvature, which was introduced in earlier work, in full, four-dimensional quantum gravity, formulated nonperturbatively in terms of Causal Dynamical Triangulations (CDT). A key finding of the CDT approach is the emergence of a universe of de Sitter-type, as evidenced by the successful matching of Monte Carlo measurements of the quantum dynamics of the global scale factor with a semiclassical minisuperspace model. An important question is whether the quantum universe exhibits semiclassicality also with regard to its more local geometric properties. Using the new quantum curvature observable, we examine whether the (quasi-)local properties of the quantum geometry resemble those of a constantly curved space. We find evidence that on sufficiently large scales the curvature behaviour is compatible with that of a four-sphere, thus strengthening the interpretation of the dynamically generated quantum universe in terms of a de Sitter space.
