An analysis of the intermediate field theory of $T^4$ tensor model

Abstract

In this paper we analyze the multi-matrix model arising from the intermediate field representation of the tensor model with all quartic melonic interactions. We derive the saddle point equation and the Schwinger-Dyson constraints. We then use them to describe the leading and next-to-leading eigenvalues distribution of the matrices.

16 pages, 2 figures

References in corpus (3)

• Random tensor models in the large N limit: Uncoloring the colored tensor models
• Algebraic methods in random matrices and enumerative geometry
• Universality in p-spin glasses with correlated disorder

Cited by in corpus (9)

• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model
• Physical states in the canonical tensor model from the perspective of random tensor networks
• Phase Transition in Tensor Models
• Renormalization procedure for random tensor networks and the canonical tensor model
• Tensor models from the viewpoint of matrix models: the case of the Gaussian distribution
• Blobbed topological recursion for correlation functions in tensor models
• Constraint algebra of general relativity from a formal continuum limit of canonical tensor model
• Quartic Tensor Models