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  Approximating the physical inner product of Loop Quantum Cosmology

Bahr, B., & Thiemann, T. (2007). Approximating the physical inner product of Loop Quantum Cosmology. Classical and Quantum Gravity, 24, 2109-2138. Retrieved from http://www.iop.org/EJ/toc/0264-9381/24/8.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4916-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4918-D
Genre: Journal Article

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cqg7_8_011.pdf (Publisher version), 354KB
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 Creators:
Bahr, Benjamin1, Author              
Thiemann, Thomas2, Author              
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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 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.

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 Dates: 2007
 Publication Status: Published in print
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 Identifiers: eDoc: 316793
Other: arXiv:gr-qc/0607075
URI: http://www.iop.org/EJ/toc/0264-9381/24/8
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 24 Sequence Number: - Start / End Page: 2109 - 2138 Identifier: -