Approximating the physical inner product of loop quantum cosmology
Abstract
In this paper, 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 find that the approximation is able to recover the analytic solution of the problem, which consolidates hopes that coherent states will help to approximate solutions of more complicated theories, like loop quantum gravity.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2007
 DOI:
 10.1088/02649381/24/8/011
 arXiv:
 arXiv:grqc/0607075
 Bibcode:
 2007CQGra..24.2109B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 35 pages