On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit
arXiv:1108.0832
Abstract
The Hamilton function is a powerful tool for studying the classical limit of quantum systems, which remains meaningful in background-independent systems. In quantum gravity, it clarifies the physical interpretation of the transitions amplitudes and their truncations.
7 pages
References in corpus (10)
- LQG vertex with finite Immirzi parameter
- Polyhedra in loop quantum gravity
- Towards Spinfoam Cosmology
- The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
- EPRL/FK Group Field Theory
- Perfect discretization of reparametrization invariant path integrals
- The complete LQG propagator: II. Asymptotic behavior of the vertex
- Face amplitude of spinfoam quantum gravity
- Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
- The Conditional Probability Interpretation of the Hamiltonian Constraint