Constructive tensorial group field theory II: the ${U(1)-T^4_4}$ model
Constructive tensorial group field theory II: the ${U(1)-T^4_4}$ model
In this paper, we continue our program of non-pertubative constructions of tensorial group field theories (TGFT). We prove analyticity and Borel summability in a suitable domain of the coupling constant of the simplest super-renormalizable TGFT which contains some ultraviolet divergencies, namely the color-symmetric quartic melonic rank-four model with Abelian gauge …