Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation
Ousmane Samary, Dine; Pérez-Sánchez, Carlos Ignacio; Vignes-Tourneret, Fabien; Wulkenhaar, Raimar
Forschungsartikel (Zeitschrift) | Peer reviewedZusammenfassung
The D-colored version of tensor models has been shown to admit a large N-limit expansion. The leading contributions result from so-called melonic graphs which are dual to the D-sphere. This is a note about the Schwinger–Dyson equations of the tensorial -model (with propagator ) and their melonic approximation. We derive the master equations for two- and four-point correlation functions and discuss their solution.
Details zur Publikation
Fachzeitschrift: Classical and Quantum Gravity
Jahrgang / Bandnr. / Volume: 32
Ausgabe / Heftnr. / Issue: 17
Artikelnummer: 175012
Status: Veröffentlicht
Veröffentlichungsjahr: 2015 (13.08.2015)
Sprache, in der die Publikation verfasst ist: Englisch
Link zum Volltext: https://arxiv.org/abs/1411.7213
Stichwörter: renormalization; tensorial group field theory; 1/N-expansion; Ward-Takahashi identities; Schwinger-Dyson equation; two-point correlation functions
Autor*innen der Universität Münster
| Perez Sanchez, Carlos Ignacio | Professur für Reine Mathematik (Prof. Wulkenhaar) |
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |