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 : multi-matrix model tensor model intermediate field representation

Document type :

Journal articles

Domain :

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

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

Complete list of metadata

Cited literature [20 references] Display Hide Download

https://hal-cea.archives-ouvertes.fr/cea-01277978
Contributor : Emmanuelle De Laborderie Connect in order to contact the contributor
Submitted on : Tuesday, February 23, 2016 - 2:41:25 PM
Last modification on : Saturday, June 25, 2022 - 10:19:39 PM
Long-term archiving on: : Tuesday, May 24, 2016 - 1:51:46 PM

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

File

Identifiers

Collections

Citation

Export

Metrics

280

301

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

File

Identifiers

Collections

Citation

Export

Share

Metrics

280

301