# Group field theory for quantum gravity minimally coupled to a scalar field

## TL;DR

This paper develops a group field theory model for quantum gravity coupled with scalar fields, providing a framework for analyzing quantum gravitational effects with matter and exploring cosmological applications.

## Contribution

It introduces a new group field theory model for quantum gravity minimally coupled to scalar fields, linking it to discrete gravity path integrals and spin foam models.

## Key findings

- Constructed a GFT model for gravity with scalar fields
- Derived a corresponding discrete gravity path integral
- Discussed applications to cosmological dynamics

## Abstract

We construct a group field theory model for quantum gravity minimally coupled to relativistic scalar fields, defining as well a corresponding discrete gravity path integral (and, implicitly, a coupled spin foam model) in its Feynman expansion. We also analyze a number of variations of the same model, the corresponding discrete gravity path integrals, its generalization to the coupling of multiple scalar fields and discuss its possible applications to the extraction of effective cosmological dynamics from the full quantum gravity formalism, in the context of group field theory condensate cosmology.