Diffeomorphism invariant cosmological symmetry in full quantum gravity

作者：Beetle Christopher^*; Engle Jonathan S; Hogan Matthew E; Mendonca Phillip

来源：International Journal of Modern Physics D, 2016, 25(8): 1642012.

DOI：10.1142/S0218271816420128

• Quantum gravity
• quantum cosmology
• loop quantum gravity
• loop quantum cosmology
• symmetry reduction

This paper summarizes a new proposal to define rigorously a sector of loop quantum gravity at the diffeomorphism invariant level corresponding to homogeneous and isotropic cosmologies, thereby enabling a detailed comparison of results in loop quantum gravity and loop quantum cosmology. The key technical steps we have completed are (a) to formulate conditions for homogeneity and isotropy in a diffeomorphism covariant way on the classical phase-space of general relativity, and (b) to translate these conditions consistently using well-understood techniques to loop quantum gravity. Some additional steps, such as constructing a specific embedding of the Hilbert space of loop quantum cosmology into a space of (distributional) states in the full theory, remain incomplete. However, we also describe, as a proof of concept, a complete analysis of an analogous embedding of homogeneous and isotropic loop quantum cosmology into the quantum Bianchi I model of Ashtekar and Wilson-Ewing. Details will appear in a pair of forthcoming papers.

• 出版日期2016-7