Constructive Tensor Field Theory

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.

arXiv admin note: text overlap with arXiv:1401.5003

References in corpus (7)

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• Scaling behaviour of three-dimensional group field theory
• Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
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Cited by in corpus (21)

• Invitation to Random Tensors
• Random Matrices and Holographic Tensor Models
• 2PI effective action for the SYK model and tensor field theories
• Group field theory for quantum gravity minimally coupled to a scalar field
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
• Functional renormalization group for the $U(1)$-$T_5^6$ tensorial group field theory with closure constraint
• Constructive tensor field theory: The $T_4^4$ model
• Topology in colored tensor models via crystallization theory
• Towards background independent quantum gravity with tensor models
• Progress in the solving nonperturbative renormalization group for tensorial group field theory
• Unitary symmetry constraints on tensorial group field theory renormalization group flow
• Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices
• Melonic Turbulence
• Large-$d$ behavior of the Feynman amplitudes for a just-renormalizable tensorial group field theory
• Intermediate Field Representation for Positive Matrix and Tensor Interactions
• Constructive expansion for quartic vector fields theories. I. Low dimensions
• New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and Applications
• Anomalous higher order Ward identities in tensorial group field theories without closure constraint
• Can we make sense out of "Tensor Field Theory"?
• Variational Loop Vertex Expansion