The tensor theory space

@article{Rivasseau2014TheTT,
  title={The tensor theory space},
  author={V. Rivasseau},
  journal={Fortschritte der Physik},
  year={2014},
  volume={62}
}
  • V. Rivasseau
  • Published 1 July 2014
  • Physics
  • Fortschritte der Physik
The tensor track is a background‐independent discretization of quantum gravity which includes a sum over all topologies. We discuss how to define a functional renormalization group flow and the Wetterich equation in the corresponding theory space. This space is different from the Einsteinian theory space of asymptotic safety. It includes all fixed‐rank tensor‐invariant interactions, hence generalizes matrix models and the (Moyal) non‐commutative field theory space. 
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