Quantum geometrodynamics of Einstein and conformal (Weyl-squared) gravity

[摘要] We discuss the canonical quantization of general relativity and Weyl-squared gravity. We present the classical and quantum constraints and discuss their similarities and differences. We perform a semiclassical expansion and discuss the emergence of time for the two theories. While in the first case semiclassical time has a scale and a shape part, in the second case it only has a shape part.

[发布机构] Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, Köln; 50937, Germany^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Canonical quantization;General Relativity;Quantum constraints