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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
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CEA | CNRS | UNIV-ANGERS | DSM-IPHT | LIPN | UNIV-PARIS13 | CEA-UPSAY | USPC | TDS-MACS | UNIV-PARIS-SACLAY | FMPL | CEA-DRF | GALILE | LAREMA

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

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