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          Institute: MPI für Gravitationsphysik     Collection: Quantum Gravity and Unified Theories     Display Documents



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ID: 316793.0, MPI für Gravitationsphysik / Quantum Gravity and Unified Theories
Approximating the physical inner product of Loop Quantum Cosmology
Authors:Bahr, Benjamin; Thiemann, Thomas
Date of Publication (YYYY-MM-DD):2007
Title of Journal:Classical and Quantum Gravity
Volume:24
Start Page:2109
End Page:2138
Review Status:not specified
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Article
Communicated by:Hermann Nicolai
Affiliations:MPI für Gravitationsphysik/Quantum Gravity and Unified Theories
Identifiers:LOCALID:arXiv:gr-qc/0607075
URL:http://www.iop.org/EJ/toc/0264-9381/24/8
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