Anomaly freedom in perturbative models of Euclidean loop quantum gravity

Jian Pin Wu, Martin Bojowald, Yongge Ma

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 - Jan 1 2018

Fingerprint

brackets
anomalies
gravitation
scalars
formulations
operators
perturbation
expansion

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

@article{95768a7ca0fd43a39e395afeff55b5d4,
title = "Anomaly freedom in perturbative models of Euclidean loop quantum gravity",
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.",
author = "Wu, {Jian Pin} and Martin Bojowald and Yongge Ma",
year = "2018",
month = "1",
day = "1",
doi = "10.1103/PhysRevD.98.106009",
language = "English (US)",
volume = "98",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "10",

}

Anomaly freedom in perturbative models of Euclidean loop quantum gravity. / Wu, Jian Pin; Bojowald, Martin; Ma, Yongge.

In: Physical Review D, Vol. 98, No. 10, 106009, 01.01.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Anomaly freedom in perturbative models of Euclidean loop quantum gravity

AU - Wu, Jian Pin

AU - Bojowald, Martin

AU - Ma, Yongge

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057888109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057888109&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.98.106009

DO - 10.1103/PhysRevD.98.106009

M3 - Article

AN - SCOPUS:85057888109

VL - 98

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 106009

ER -