Approximating the physical inner product of loop quantum cosmology

Bahr B, Thiemann T (2007)


Publication Status: Published

Publication Type: Journal article

Publication year: 2007

Journal

Publisher: IOP PUBLISHING LTD

Book Volume: 24

Pages Range: 2109-2138

Journal Issue: 8

DOI: 10.1088/0264-9381/24/8/011

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.

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How to cite

APA:

Bahr, B., & Thiemann, T. (2007). Approximating the physical inner product of loop quantum cosmology. Classical and Quantum Gravity, 24(8), 2109-2138. https://dx.doi.org/10.1088/0264-9381/24/8/011

MLA:

Bahr, Benjamin, and Thomas Thiemann. "Approximating the physical inner product of loop quantum cosmology." Classical and Quantum Gravity 24.8 (2007): 2109-2138.

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