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arxiv: 1401.2096 · v1 · pith:XDUEFI42new · submitted 2014-01-09 · ✦ hep-th

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

classification ✦ hep-th
keywords equationsfunctionstwo-pointcaseclosedequationfieldgroup
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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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