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

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arxiv 1401.2096 v1 pith:XDUEFI42 submitted 2014-01-09 hep-th

Dine Ousmane Samary This is my paper · ORCID
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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  1. Ward-constrained melonic renormalization group flow for the rank-four $\phi^6$ tensorial group field theory

    hep-th 2019-08 reject novelty 4.0 of 10

    For the rank-4 φ6 tensorial group field theory, the authors derive a Ward-constrained renormalization group flow and report a nontrivial fixed point, but the fixed point's reported values violate their own consistency...

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