Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model

We study the cosmological sector of the Lorentzian Barrett-Crane (BC) model coupled to a free massless scalar field in its Group Field Theory (GFT) formulation, corresponding to the mean-field hydrodynamics obtained from coherent condensate states. The relational evolution of the condensate with res...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2022-01, Vol.2022 (1), p.50
Main Authors: Jercher, Alexander F., Oriti, Daniele, Pithis, Andreas G. A.
Format: Article
Language:English
Subjects:
Astronomical models
Condensates
cosmic singularity
Cosmology
Field theory
Hydrodynamics
quantum cosmology
Quantum gravity
quantum gravity phenomenology
Scalars
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Summary:We study the cosmological sector of the Lorentzian Barrett-Crane (BC) model coupled to a free massless scalar field in its Group Field Theory (GFT) formulation, corresponding to the mean-field hydrodynamics obtained from coherent condensate states. The relational evolution of the condensate with respect to the scalar field yields effective dynamics of homogeneous and isotropic cosmologies, similar to those previously obtained in SU(2)-based EPRL-like models. Also in this manifestly Lorentzian setting, in which only continuous SL(2,ℂ)-representations are used, we obtain generalized Friedmann equations that generically exhibit a quantum bounce, and can reproduce all of the features of the cosmological dynamics of EPRL-like models. This lends support to the expectation that the EPRL-like and BC models may lie in the same continuum universality class, and that the quantum gravity mechanism producing effective bouncing scenarios may not depend directly on the discretization of geometric observables.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2022/01/050