Discrete renormalization group for SU(2) tensorial group field theory

@article{Carrozza2015DiscreteRG,
  title={Discrete renormalization group for SU(2) tensorial group field theory},
  author={Sylvain Carrozza},
  journal={arXiv: High Energy Physics - Theory},
  year={2015},
  volume={2},
  pages={49-112}
}
This article provides a Wilsonian description of the perturbatively renormalizable Tensorial Group Field Theory introduced in arXiv:1303.6772 [hep-th] (Commun. Math. Phys. 330, 581-637). It is a rank-3 model based on the gauge group SU(2), and as such is expected to be related to Euclidean quantum gravity in three dimensions. By means of a power-counting argument, we introduce a notion of dimensionality of the free parameters defining the action. General flow equations for the dimensionless… Expand
66 Citations
Functional renormalisation group approach for tensorial group field theory: a rank-3 model
  • 89
  • PDF
From perturbative to non-perturbative renormalization in Tensorial Group Field Theories
  • 1
  • Highly Influenced
Unitary Symmetry constraints on tensorial group field theory renormalization group flow
  • 20
  • PDF
Functional renormalization group for the U(1)-T-5(6) tensorial group field theory with closure constraint
  • 26
  • Highly Influenced
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 68 REFERENCES
Tensorial Methods and Renormalization in Group Field Theories
  • 70
  • PDF
A Renormalizable 4-Dimensional Tensor Field Theory
  • 168
  • PDF
Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions
  • 144
  • PDF
The tensor theory space
  • 35
  • PDF
3D Tensor Field Theory: Renormalization and One-Loop β-Functions
  • 106
  • PDF
Group field theories
  • 66
  • PDF
The Group field theory approach to quantum gravity
  • 223
  • PDF
Continuum limit in matrix models for quantum gravity from the Functional Renormalization Group
  • 56
  • Highly Influential
  • PDF
...
1
2
3
4
5
...