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.
https://hal-cea.archives-ouvertes.fr/cea-01277978 Contributor : Emmanuelle de LaborderieConnect in order to contact the contributor Submitted on : Tuesday, February 23, 2016 - 2:41:25 PM Last modification on : Monday, December 13, 2021 - 9:16:04 AM Long-term archiving on: : Tuesday, May 24, 2016 - 1:51:46 PM
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⟩