Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock
Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock
复制标题
与时钟耦合的球对称标量场的圈量子引力
DOI：
10.1088/1361-6382/acc510
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发表时间：
2023
影响因子：
3.5
通讯作者：
Pullin, Jorge
中科院分区：
文献类型：
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作者：
Gambini, Rodolfo;Pullin, Jorge
在实现包含哈密顿约束的约束代数的水平上，球对称环量子引力中包含的物质场被证明是有问题的。这里我们考虑引入时钟的系统。利用我们在前几篇论文中介绍的关于重力与物质耦合的阿贝尔化技术，系统可以是规范固定的，并且可以用满足简单泊松括号关系的一组有限的动态变量来重写。这就产生了一个真正的哈密顿量，从而绕过了约束代数的问题。我们展示了环量子引力技术如何应用于真空情况，并展示了哈密顿系统再现了状态的物理空间和史瓦西黑洞的可观测值的先前结果。
The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint. Here we consider the system with the introduction of a clock. Using the abelianizaton technique we introduced in previous papers in the case of gravity coupled to matter, the system can be gauge fixed and rewritten in terms of a restricted set of dynamical variables that satisfy simple Poisson bracket relations. This creates a true Hamiltonian and therefore one bypasses the issue of the constraint algebra. We show how loop quantum gravity techniques may be applied for the vacuum case and show that the Hamiltonian system reproduces previous results for the physical space of states and the observables of a Schwarzchild black hole.
DOI：
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发表时间：
2011
期刊：
影响因子：
--
作者：
Sumimoto H;Minakami R;Miyano K
通讯作者：
Miyano K