Tensor models, a quantum field theoretical particularization

Abstract

Random matrix models have been extensively studied in mathematical physics and have proven useful in combinatorics. In this review paper we introduce a generalization of these models to a class of tensor models. As the topology and combinatorics of these tensor models are much more complex than those of matrix models, a first quantum field theoretical (QFT) proposition for simplifying them was recently proposed in R. Gurau (2011). Here, we review a different QFT simplification.

10 pages, 14 figures. This is a short review of previous research results obtained by the author

References in corpus (3)

• Colored Tensor Models - a Review
• Some combinatorial aspects of quantum field theory
• Combinatorics of random tensor models

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