1. An Exactly Soluble Group Field Theory
- Author
-
Marchetti, Luca, Mehmood, Hassan, and Husain, Viqar
- Subjects
General Relativity and Quantum Cosmology ,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 completion of a corresponding spinfoam model developed earlier; we also show that the HK-GFT admits 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., Comment: 34 pages, 5 figures; RevTex4
- Published
- 2024