Equivalence of models in loop quantum cosmology and group field theory
arXiv:1811.11156 · doi:10.3390/universe5020041
Abstract
The paradigmatic models often used to highlight cosmological features of loop quantum gravity and group field theory are shown to be equivalent, in the sense that they are different realizations of the same model given by harmonic cosmology. The loop version of harmonic cosmology is a canonical realization, while the group-field version is a bosonic realization. The existence of a large number of bosonic realizations suggests generalizations of models in group field cosmology.
arXiv comment10 pages
References in corpus (24)
- Discreteness of area and volume in quantum gravity
- Absence of Singularity in Loop Quantum Cosmology
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
- Isotropic Loop Quantum Cosmology
- Cosmology from Group Field Theory Formalism for Quantum Gravity
- Quantum cosmology: a review
- Homogeneous cosmologies as group field theory condensates
- On the Hamiltonian Constraint of Loop Quantum Cosmology
- Loop quantum cosmology and inhomogeneities
- Large scale effective theory for cosmological bounces
- Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
- How quantum is the big bang?
- Covariance in models of loop quantum gravity: Gowdy systems
- Group field cosmology: a cosmological field theory of quantum geometry
- Harmonic cosmology: How much can we know about a universe before the big bang?
- Effective potentials from semiclassical truncations
- The Dark Side of a Patchwork Universe
- Coarse graining as a representation change
- Group theoretical Quantization of Isotropic Loop Cosmology
- Cosmological evolution as squeezing: a toy model for group field cosmology
- Minisuperspace models as infrared contributions
- The BKL scenario, infrared renormalization, and quantum cosmology
- Perturbing a quantum gravity condensate
Cited by in corpus (9)
- (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
- Protected Symmetry in Quantum Cosmology
- Phenomenological implications of modified loop cosmologies: an overview
- Generalised effective cosmology from group field theory
- Towards anisotropic cosmology in group field theory
- Generalised Gaussian states in group field theory and quantum cosmology
- Conformal structure of FLRW Cosmology: Spinorial representation and the so(3,2) algebra of observables
- Editorial for the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms"
- Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces