Closed equations of the two-point functions for tensorial group field theory
High Energy Physics - Theory
2014-09-01 v1
Abstract
In this paper we provide the closed equations that satisfy two-point correlation functions of the rank 3 and 4 tensorial group field theory. The formulation of the present problem extends the method used by Grosse and Wulkenhaar in [arXiv 0909.1389] to the tensor case. Ward-Takahashi identities and Schwinger-Dyson equations are combined to establish a nonlinear integral equation for the two-point functions. In the 3D case the solution of this equation is given perturbatively at second order of the coupling constant.
Keywords
Cite
@article{arxiv.1401.2096,
title = {Closed equations of the two-point functions for tensorial group field theory},
author = {Dine Ousmane Samary},
journal= {arXiv preprint arXiv:1401.2096},
year = {2014}
}
Comments
28 pages, 12 figures