An Exactly Soluble Group Field Theory
General Relativity and Quantum Cosmology
2025-08-06 v2 High Energy Physics - Theory
Abstract
We present a Group Field Theory (GFT) quantization of the Husain-Kucha\v{r} (HK) model formulated as a non-interacting 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.
Keywords
Cite
@article{arxiv.2412.09851,
title = {An Exactly Soluble Group Field Theory},
author = {Luca Marchetti and Hassan Mehmood and Viqar Husain},
journal= {arXiv preprint arXiv:2412.09851},
year = {2025}
}
Comments
43 pages, 4 figures; section V revised, minor changes elsewhere; version to appear in PRD