Symmetry, Integrability and Geometry: Methods and Applications | |
The Space of Connections as the Arena for (Quantum) Gravity | |
关键词: canonical quantum gravity; gravitational connection; semisimple Lie algebras; infinite-dimensional manifolds; | |
DOI : | |
来源: DOAJ |
【 摘 要 】
We review some properties of the space of connections as the natural arena for canonical (quantum) gravity, and compare to the case of the superspace of 3-metrics. We detail how a 1-parameter family of metrics on the space of connections arises from the canonical analysis for general relativity which has a natural interpretation in terms of invariant tensors on the algebra of the gauge group. We also review the description of canonical GR as a geodesic principle on the space of connections, and comment on the existence of a time variable which could be used in the interpretation of the quantum theory.
【 授权许可】
Unknown