An Exactly Soluble Group Field Theory
| Autor: | Marchetti, Luca, Mehmood, Hassan, Husain, Viqar |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 |
| Databáze: | arXiv |
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