Loop quantum cosmology from group field theory

Abstract

We show that the effective dynamics of the recently proposed isotropic condensate state of group field theory with Laplacian kinetic operator can be equivalent to that of homogeneous and isotropic loop quantum cosmology in the improved dynamics quantization scheme, where the area of elementary holonomy plaquettes is constant. This constitutes a somewhat surprising example of a cosmological model of quantum gravity where the operations of minisuperspace symmetry reduction and quantization can actually commute.

5 pages. v2: typos corrected, eprint number of Ref. [14] added; v3: results with interactions included

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Cited by in corpus (29)

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• Quantum Cosmology from Group Field Theory Condensates: a Review
• The universe as a quantum gravity condensate
• Cosmological implications of interacting Group Field Theory models: cyclic Universe and accelerated expansion
• Group field theories for all loop quantum gravity
• Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
• Emergence of a low spin phase in group field theory condensates
• Dimensional flow in discrete quantum geometries
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Group field theory condensate cosmology: An appetizer
• Quantum evolution of black hole initial data sets: Foundations
• Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
• Quantum Reduced Loop Gravity: a realistic Universe
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Relational evolution of effectively interacting GFT quantum gravity condensates
• Improved ($\bar{\mu }$-Scheme) Effective Dynamics of Full Loop Quantum Gravity
• Dynamics of anisotropies close to a cosmological bounce in quantum gravity
• Identifying cosmological perturbations in group field theory condensates
• Emergence of Spacetime in a restricted Spin-foam model
• Minisuperspace models as infrared contributions
• Perturbing a quantum gravity condensate
• Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model
• Big Bang Singularity Resolution In Quantum Cosmology
• Constraints on Operator Ordering from Third Quantization
• Minisuperspace models of discrete systems
• Orthogonal gauge fixing of first order gravity
• Aspects of quantum gravity
• Closer look at cosmological consequences of interacting group field theory
• Cosmological implications of the hydrodynamical phase of group field theory