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}
}
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

Figures and Tables from this paper

Renormalizable Models in Rank d ≥ 2 Tensorial Group Field Theory
A power counting theorem for a p2aφ4 tensorial group field theory
A power counting theorem for a $p^{2a}\phi^4$ tensorial group field theory
The Full Ward-Takahashi Identity for Colored Tensor Models
The tensor theory space
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 73 REFERENCES
Renormalisation of Noncommutative ϕ4-Theory by Multi-Scale Analysis
3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions
Bubble Divergences from Twisted Cohomology
Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base
Renormalization of Non-Commutative $$\Phi^4_4$$ Field Theory in x Space
3D Tensor Field Theory: Renormalization and One-Loop β-Functions
2D gravity and random matrices
...
1
2
3
4
5
...