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

Viet Anh Nguyen (1, 2, 3) , Stephane Dartois (2, 4) , Bertrand Eynard (5, 3)

1 LAREMA - Laboratoire Angevin de Recherche en Mathématiques
2 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 LIPN - Laboratoire d'Informatique de Paris-Nord
5 CRM - Centre de Recherches Mathématiques [Montréal]

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.

Keywords: multi-matrix model; tensor model; intermediate field representation

Domains: Physics [physics]; Mathematical Physics [math-ph]; Physics [physics]; High Energy Physics - Theory [hep-th]

Viet Anh Nguyen, Stephane Dartois, Bertrand Eynard. An analysis of the intermediate field theory of $T^4$ tensor model. Journal of High Energy Physics, 2015, ⟨10.1007/JHEP01(2015)013⟩. ⟨cea-01277978⟩