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arXiv · 1401.2096

Closed equations of the two-point functions for tensorial group field theory

Dine Ousmane Samary
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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.

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Dine Ousmane Samary. 2014-01-09. Closed equations of the two-point functions for tensorial group field theory. https://doi.org/10.1088/0264-9381%2F31%2F18%2F185005

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