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

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AuteurOUSMANE SAMARY, DINE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2014
ResumeIn this paper, we provide the closed equations that satisfy two-point correlation functions of rank 3 and 4 tensorial group field theory. The formulation of the current problem extends the method used by Grosse and Wulkenhaar (2009 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 three-dimensional case, the solution of this equation is given perturbatively at the second order of the coupling constant.
DOI10.1088/0264-9381/31/18/185005
Autre identifiantBECDB-1050
URIhttps://dspace.uac.bj/handle/123456789/1316
Languefr
Fait partie deClassical Quantum Gravity
Sujetrenormalization
Sujettensorial group field theory
SujetWard–Takahashi
Sujetidentities
SujetSchwinger–Dyson equation
Sujettwo-point correlation functions
TitreClosed equations of the two-point functions for tensorial group field theory
TypeArticle

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