论文标题
循环量子重力中狄拉克量化的实现
Realization of Dirac quantization in loop quantum gravity
论文作者
论文摘要
在经典和量子水平上研究了与非旋转灰尘场耦合的重力系统。系统的标量约束可以以尘埃时间的形式写成真正的物理哈密顿量。在循环量子重力的框架中，标量约束在耦合系统的合适的希尔伯特空间中晋升为定义明确的操作员，使得物理汉密尔顿成为对称操作员。通过脱培形式，获得了量子标量约束的溶液的一般表达，并且可以构建溶液空间上的可观察物。此外，该系统可以在循环量子重力中完全执行狄拉克量化程序。
The system of gravity coupled to the non-rotational dust field is studied at both classical and quantum levels. The scalar constraint of the system can be written in the form of a true physical Hamiltonian with respect to the dust time. In the framework of loop quantum gravity, the scalar constraint is promoted to a well-defined operator in a suitable Hilbert space of the coupled system, such that the physical Hamiltonian becomes a symmetric operator. By the deparametrized form, a general expression of the solutions to the quantum scalar constraint is obtained, and the observables on the space of solutions can be constructed. Moreover, the Dirac quantization procedure can be fully carried out in loop quantum gravity by this system.
