Approximating the physical inner product of Loop Quantum Cosmology

Details Approximating the physical inner product of Loop Quantum Cosmology Approximating the physical inner product of Loop Quantum Cosmology

2006-07-19

arxiv.org/abs/gr-qc/0607075v1

Class.Quant.Grav.24:2109-2138,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

35 pages

Scientific paper

10.1088/0264-9381/24/8/011

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.

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