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arXiv · 2412.09851

An Exactly Soluble Group Field Theory

Luca Marchetti·Hassan Mehmood·Viqar Husain
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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.

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Luca Marchetti, Hassan Mehmood, Viqar Husain. 2024-12-13. An Exactly Soluble Group Field Theory. https://arxiv.org/abs/2412.09851

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