Approximating the physical inner product of Loop Quantum Cosmology
arXiv:gr-qc/0607075 · doi:10.1088/0264-9381/24/8/011
Abstract
In this article, we investigate the possibility of approximating the physical inner product of constrained quantum theories. In particular, we calculate the physical inner product of a simple cosmological model in two ways: Firstly, we compute it analytically via a trick, secondly, we use the complexifier coherent states to approximate the physical inner product defined by the master constraint of the system. We will find that the approximation is able to recover the analytic solution of the problem, which solidifies hopes that coherent states will help to approximate solutions of more complicated theories, like loop quantum gravity.
35 pages
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Cited by in corpus (4)
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- Coherent states for FLRW space-times in loop quantum gravity
- Diffeomorphism invariant cosmological sector in loop quantum gravity
- A dynamical metric and its ground state from the breaking down of the topological invariance of the Euler characteristic