Quantum Gravity by the Complex Canonical Formulation
arXiv:gr-qc/9211022 · doi:10.1142/S0218271892000240
Abstract
The basic features of the complex canonical formulation of general relativity and the recent developments in the quantum gravity program based on it are reviewed. The exposition is intended to be complementary to the review articles available already and some original arguments are included. In particular the conventional treatment of the Hamiltonian constraint and quantum states in the canonical approach to quantum gravity is criticized and a new formulation is proposed.
104 pages
Cited by in corpus (11)
- Actions for Gravity, with Generalizations: A Review
- Closed FRW model in Loop Quantum Cosmology
- Geometrodynamics vs. Connection Dynamics
- Self-dual variables, positive semi-definite action, and discrete transformations in four-dimensional quantum gravity
- The Standard Model with gravity couplings
- Quantum Gravity Vacuum and Invariants of Embedded Spin Networks
- Wave function of the Universe and Chern-Simons Perturbation Theory
- Invariant Regularization of Anomaly-Free Chiral Theories
- Chern-Simons Theory, Vassiliev Invariants, Loop Quantum Gravity and Functional Integration Without Integration
- Invariants of Spin Networks Embedded in Three-Manifolds
- Effective gauge group of pure loop quantum gravity is SO(3): New estimate of the Immirzi parameter