# A Renormalizable 4-Dimensional Tensor Field Theory

@article{Geloun2011AR4,
title={A Renormalizable 4-Dimensional Tensor Field Theory},
author={J. B. Geloun and V. Rivasseau},
journal={Communications in Mathematical Physics},
year={2011},
volume={318},
pages={69-109}
}
• Published 2011
• Physics
• Communications in Mathematical Physics
We prove that an integrated version of the Gurau colored tensor model supplemented with the usual Bosonic propagator on U(1)4 is renormalizable to all orders in perturbation theory. The model is of the type expected for quantization of space-time in 4D Euclidean gravity and is the first example of a renormalizable model of this kind. Its vertex and propagator are four-stranded like in 4D group field theories, but without gauge averaging on the strands. Surprisingly perhaps, the model is of the… Expand
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