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

Viet Anh Nguyen; Stephane Dartois; Bertrand Eynard

doi:10.1007/JHEP01(2015)013

Journal articles

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]

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.

Keywords : intermediate field representation multi-matrix model tensor model

Document type :

Journal articles

Domain :

Physics [physics] / Mathematical Physics [math-ph]

Physics [physics] / High Energy Physics - Theory [hep-th]

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