Effective constraint algebras with structure functions
arXiv:1407.4444 · doi:10.1088/1751-8113/49/12/125301
Abstract
This article presents the result that fluctuations and higher moments of a state do not imply quantum corrections in structure functions of constrained systems. Consequences for canonical quantum gravity, whose structure functions encode space-time structure, are discussed. In particular, deformed algebras found in models of loop quantum gravity provide reliable information even in the Planck regime.
16 pages
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Cited by in corpus (14)
- Covariance in models of loop quantum gravity: Spherical symmetry
- Hypersurface-deformation algebroids and effective space-time models
- Spherically symmetric canonical quantum gravity
- Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
- Information loss, made worse by quantum gravity?
- Signature change in loop quantum gravity: General midisuperspace models and dilaton gravity
- Constraining the loop quantum gravity parameter space from phenomenology
- Anomaly freedom in perturbative models of Euclidean 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
- Quasiclassical solutions for static quantum black holes
- (Loop) quantum gravity and the inflationary scenario
- Space-time superpositions as fluctuating geometries
- Black-hole models in loop quantum gravity