QG4 - Loop Quantum gravity, Quantum Geometry, Spin Foams |
Speaker_ |
Bahr, Benjamin |
Talk _ |
Approximating the physical inner product with coherent states |
Abstract _ |
When one quantizes theories with constraints, such as Loop Gravity or Loop Cosmology, solving the quantum constraints is but the first step towards solving the theory. One furthermore needs to equip the space of solutions with a "physical" inner product, allowing for a physical interpretation of the theory. This usually is abstractly done via rigging maps, but hard to do in practice. In this talk, an approximation scheme for the rigging map is presented that uses complexifier coherent states. Furthermore, the scheme is tested with some simple cosmological model, and results in some kind of perturbation series, which allows to identify the physical Hilbert space in the space of solutions. |