Emergent matter from 3d generalised group field theories

TL;DR

This paper explores how classical solutions in 3D generalized group field theories can give rise to emergent matter fields, testing the emergence mechanism and revealing some limitations of the formalism.

Contribution

It identifies classical solutions in 3D generalized group field theories and analyzes their perturbations to understand emergent matter fields.

Findings

Classical solutions can be interpreted as emergent matter.

Perturbation analysis reveals effective dynamics of matter fields.

The study exposes limitations in the current formalism.

Abstract

We identify classical solutions of a generalised group field theory model in 3 dimensions, and study the corresponding perturbations, deriving their effective dynamics. We discuss their interpretation as emergent matter fields. This allows us, on the one hand to test the proposed mechanism for emergence of matter as a phase of group field theory, and on the other hand to expose some limitations of the generalised group field theory formalism.