On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory

Pascalie, Romain; Pérez-Sánchez, Carlos Ignacio; Tanasa, Adrian; Wulkenhaar, Raimar

Research article (journal) | Peer reviewed

Abstract

We analyse in this paper the large N limit of the Schwinger-Dyson equations in a rank-3 tensor quantum field theory, which are derived with the help of Ward-Takahashi identities. In order to have a well-defined large N limit, appropriate scalings in powers of N for the various terms present in the action are explicitly found. A perturbative check of our results is done, up to second order in the coupling constant.

Details about the publication

JournalJournal of Mathematical Physics
Volume60
Issue7
Article number073502
StatusPublished
Release year2019 (01/07/2019)
Language in which the publication is writtenEnglish
DOI10.1063/1.5080306
Link to the full texthttps://arxiv.org/abs/1810.09867
KeywordsSchwinger-Dyson equations, tensor models

Authors from the University of Münster

Perez Sanchez, Carlos Ignacio
Professur für Reine Mathematik (Prof. Wulkenhaar)
Wulkenhaar, Raimar
Professur für Reine Mathematik (Prof. Wulkenhaar)