Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 085, 31 pages      arXiv:1603.07312      https://doi.org/10.3842/SIGMA.2016.085
Contribution to the Special Issue on Tensor Models, Formalism and Applications

Constructive Tensor Field Theory

Vincent Rivasseau
Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, F-91405 Orsay Cedex, France

Received March 23, 2016, in final form August 18, 2016; Published online August 22, 2016

Abstract
We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.

Key words: constructive field theory; renormalization; tensor models.

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