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arXiv · 1809.04465

Anomaly freedom in perturbative models of Euclidean loop quantum gravity

Jian-Pin Wu·Martin Bojowald·Yongge Ma
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Abstract

Euclidean gravity provides an interesting test system for an analysis of cosmological perturbations in an effective Hamiltonian constraint with holonomy modifications from loop quantum gravity. This paper presents a discussion of scalar modes, with a specific form of the holonomy modification function derived from a general expansion in a connection formulation. Compared with some previous models, the constraint brackets are deformed in a different and more restricted way. A general comparison of anomaly-free brackets in various effective and operator versions shows overall consistency between different approaches.

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Jian-Pin Wu, Martin Bojowald, Yongge Ma. 2018-09-12. Anomaly freedom in perturbative models of Euclidean loop quantum gravity. https://doi.org/10.1103/physrevd.98.106009

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