Invitation to Random Tensors
arXiv:1609.06439 · doi:10.3842/SIGMA.2016.094
Abstract
This article is preface to the SIGMA special issue "Tensor Models, Formalism and Applications", http://www.emis.de/journals/SIGMA/Tensor_Models.html. The issue is a collection of eight excellent, up to date reviews on random tensor models. The reviews combine pedagogical introductions meant for a general audience with presentations of the most recent developments in the field. This preface aims to give a condensed panoramic overview of random tensors as the natural generalization of random matrices to higher dimensions.
References in corpus (15)
- Random tensor models in the large N limit: Uncoloring the colored tensor models
- The topological structure of scaling limits of large planar maps
- Group field theory with non-commutative metric variables
- Vanishing of Beta Function of Non Commutative Theory to all orders
- Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model
- Constructive field theory without tears
- Conformal Random Geometry
- Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
- Progress in solving a noncommutative quantum field theory in four dimensions
- Bubbles and jackets: new scaling bounds in topological group field theories
- Group Field Theory in dimension four minus epsilon
- Perturbing a quantum gravity condensate
- Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity
- Effective equations for GFT condensates from fidelity
- Another algebraic variational principle for the spectral curve of matrix models