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 overall consistency between different approaches.

34 pages

References in corpus (19)

• Anomaly freedom in perturbative loop quantum gravity
• Loop quantum gravity corrections to gravitational wave dispersion
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Loop quantum cosmology and inhomogeneities
• Large scale effective theory for cosmological bounces
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Quantum Gravity and Higher Curvature Actions
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Effective Constraints for Quantum Systems
• Cosmological vector modes and quantum gravity effects
• Hypersurface-deformation algebroids and effective space-time models
• Effective Scenario of Loop Quantum Cosmology
• Inflationary observables in loop quantum cosmology
• Spherically symmetric canonical quantum gravity
• The Dark Side of a Patchwork Universe
• Information loss, made worse by quantum gravity?
• Coherent State Functional Integral in Loop Quantum Cosmology: Alternative Dynamics
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity

Cited by in corpus (14)

• Black Holes and Covariance in Effective Quantum Gravity
• Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity
• Gravitational lensing effect of black holes in effective quantum gravity
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Non-covariance of "covariant polymerization" in models of loop quantum gravity
• Black holes and covariance in effective quantum gravity: A solution without Cauchy horizons
• Rainbow-like Black Hole metric from Loop Quantum Gravity
• Effective Field Theory of Loop Quantum Cosmology
• Deformed covariance in spherically symmetric vacuum models of loop quantum gravity: Consistency in Euclidean and self-dual gravity
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Cosmological implications of generalized holonomy corrections
• Dynamics of k-essence in loop quantum cosmology
• Gravitational waves with generalized holonomy corrections
• Black-hole models in loop quantum gravity