ing 100875, China As an important alternative quantum theory of general relativity , loop quantum gravity has made considerable progress. At prese nt, a key and difficult issue in loop quantum gravity is to build a reasonable quantum dynamics. In the canonical formulation of loop quantum gravity, it requires us to cons truct a reasonable Hamiltonian constraint operator and then solve the quantum constraint equation. In this paper, we will review the basic ideas of loop quantum grav ity and its quantum dynamics. We will mainly focus on the construction of Hamiltonian constraint operators and the corresp onding Hilbert spaces in which the Hamiltonian constraint opera tors can be well defined. loop quantum gravity, quantum dy namics, Hamiltonian constraint doi: 10.1360/N972015-00942
全文预览
