Loop quantum cosmology from group field theory

TL;DR

This paper demonstrates that the effective dynamics of a group field theory condensate state can be equivalent to loop quantum cosmology, showing a surprising compatibility between symmetry reduction and quantization in quantum gravity models.

Contribution

It establishes a link between group field theory condensates and loop quantum cosmology, highlighting that symmetry reduction and quantization can commute in this context.

Findings

Effective dynamics match between group field theory and loop quantum cosmology

Symmetry reduction and quantization commute in this quantum gravity model

Supports the viability of group field theory as a foundation for cosmological models

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.