Exactly soluble group field theory
Phys. Rev. D 112, 044056 – Published 26 August, 2025
DOI: https://doi.org/10.1103/v1rr-bhqx
Abstract
We present a group field theory (GFT) quantization of the Husain-Kuchar (HK) model formulated as a noninteracting GFT. We demonstrate that the path-integral formulation of this HK-GFT provides a complete spinfoam model and a unique Fock representation that describes the quantum three-geometries of the HK model. These results provide a link to the canonical quantization of the HK model and demonstrate how GFTs can bridge distinct quantization schemes.
