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
Research article (journal) | Peer reviewedAbstract
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 about the publication
Journal: Classical and Quantum Gravity
Volume: 32
Issue: 17
Article number: 175012
Status: Published
Release year: 2015 (13/08/2015)
Language in which the publication is written: English
Link to the full text: https://arxiv.org/abs/1411.7213
Keywords: renormalization; tensorial group field theory; 1/N-expansion; Ward-Takahashi identities; Schwinger-Dyson equation; two-point correlation functions
Authors from the University of Münster
| Perez Sanchez, Carlos Ignacio | Professur für Reine Mathematik (Prof. Wulkenhaar) |
| Wulkenhaar, Raimar | Professur für Reine Mathematik (Prof. Wulkenhaar) |