paper

An Exactly Soluble Group Field Theory

arXiv:2412.09851

Abstract

We present a Group Field Theory (GFT) quantization of the Husain-Kuchař (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.

43 pages, 4 figures; section V revised, minor changes elsewhere; version to appear in PRD

An Exactly Soluble Group Field Theory · wovepaper