Exactly soluble group field theory
We present a group field theory (GFT) quantization of the Husain-Kuchar (HK) model formulated as a noninteracting 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.
Authors
- Viqar Husain
- Luca Marchetti (ORCID: https://orcid.org/0000-0002-8927-5937)
- Hassan Mehmood (ORCID: https://orcid.org/0009-0007-8219-4492)
Institutions
- University of New Brunswick (CA)
- Okinawa Institute of Science and Technology Graduate University (JP)
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-08-26
- DOI
- https://doi.org/10.1103/v1rr-bhqx
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- John Templeton Foundation
- Okinawa Institute of Science and Technology Graduate University
- Natural Sciences and Engineering Research Council of Canada