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Numerical Techniques in Loop Quantum Cosmology

Author(s): David Brizuela | Daniel Cartin | Gaurav Khanna

Journal: Symmetry, Integrability and Geometry : Methods and Applications
ISSN 1815-0659

Volume: 8;
Start page: 001;
Date: 2012;
Original page

Keywords: quantum gravity | numerical techniques | loop quantum cosmology

In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic features of LQC, and describe features of the constraint equations to solve - generically, these are difference (rather than differential) equations. Important issues such as differing quantization methods, stability of the solutions, the semi-classical limit, and the relevance of lattice refinement in the difference equations are discussed. Finally, the cosmological models already considered in the literature are listed, along with typical features in these models and open issues.

Tango Jona
Tangokurs Rapperswil-Jona

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