159 citations · 616 across the 14 of their papers we have counts for
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On anomaly freedom in spherically symmetric lattice loop quantization
Mikhail Kagan
Anomaly freedom has been one of the most important issues in canonical quantization of gravity. In a physically meaningful (anomaly free) theory, the constraint operators must be f…
Anomaly-free cosmological perturbations in effective canonical quantum gravity
Aurelien Barrau, Martin Bojowald, Gianluca Calcagni +2
This article lays out a complete framework for an effective theory of cosmological perturbations with corrections from canonical quantum gravity. Since several examples exist for q…
Quantum matter in quantum space-time
Martin Bojowald, Golam Mortuza Hossain, Mikhail Kagan +1
Quantum matter in quantum space-time is discussed using general properties of energy-conservation laws. As a rather radical conclusion, it is found that standard methods of differe…
Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
Martin Bojowald, Golam Mortuza Hossain, Mikhail Kagan +1
A consistent implementation of quantum gravity is expected to change the familiar notions of space, time and the propagation of matter in drastic ways. This will have consequences…
Anomaly freedom in perturbative loop quantum gravity
Martin Bojowald, Golam Mortuza Hossain, Mikhail Kagan +1
A fully consistent linear perturbation theory for cosmology is derived in the presence of quantum corrections as they are suggested by properties of inverse volume operators in loo…
Effective constraints of loop quantum gravity
Martin Bojowald, Hector Hernandez, Mikhail Kagan +1
Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom re…