Effective dynamics of scalar cosmological perturbations from quantum gravity

Abstract

We derive an effective dynamics for scalar cosmological perturbations from quantum gravity, in the framework of group field theory (GFT) condensate cosmology. The emergent spacetime picture is obtained from the mean field hydrodynamic regime of the fundamental theory, and physical observables are defined using a relational strategy applied at the same level of approximation, in terms of suitable collective states of the GFT field. The dynamical equations we obtain for volume and matter perturbations lead to the same solutions as those of classical general relativity in the long-wavelength, super-horizon limit, but differ in other regimes. These differences could be of phenomenological interest and make contact between fundamental quantum gravity models and cosmological observations, indicating new physics or limitations of the fundamental models or of the approximations leading to the effective cosmological dynamics.

43 pages

References in corpus (17)

• Gravity quantized
• Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce
• Invitation to Random Tensors
• Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
• Group field theory condensate cosmology: An appetizer
• Quantum cosmology of (loop) quantum gravity condensates: An example
• Effective relational cosmological dynamics from Quantum Gravity
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Relational evolution of effectively interacting GFT quantum gravity condensates
• Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model
• Quantum fluctuations in the effective relational GFT cosmology
• Dynamics of anisotropies close to a cosmological bounce in quantum gravity
• Phantom-like dark energy from quantum gravity
• Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models
• (No) phase transition in tensorial group field theory
• Hamiltonian group field theory with multiple scalar matter fields
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom

Cited by in corpus (7)

• Mean-field phase transitions in TGFT quantum gravity
• The Complete Barrett-Crane Model and its Causal Structure
• Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
• Loop quantum cosmology: relation between theory and observations
• Towards anisotropic cosmology in group field theory
• Stochastic dynamics for Group Field Theories
• Gauge-invariant perturbations at a quantum gravity bounce