Anomaly freedom in perturbative models of Euclidean loop quantum gravity

Jian Pin Wu, Martin Bojowald, Yongge Ma

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 an overall consistency between the different approaches.

Original languageEnglish (US)
Article number106009
JournalPhysical Review D
Volume98
Issue number10
DOIs
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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