Anomaly freedom in perturbative models of Euclidean loop quantum gravity

Jian Pin Wu, Martin Bojowald, Yongge Ma

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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
Issue number10
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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