An Exactly Soluble Group Field Theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916880336289792 |
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| author | Marchetti, Luca Mehmood, Hassan Husain, Viqar |
| author_facet | Marchetti, Luca Mehmood, Hassan Husain, Viqar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Exactly Soluble Group Field Theory Marchetti, Luca Mehmood, Hassan Husain, Viqar General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | An Exactly Soluble Group Field Theory |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.09851 |