Submissions from H. H. L. S. G. S. A. S. G. S. G. S. A. G. A.
 [1] faKiv:2004.08436 [pdf]

Group Field TheoryComments: 42 pages, 1 figure
We study the connection between Einsteintorsion and group field theory. We investigate the character of the $g_A\psi$ field theory with arbitrary gauge group. We find that the $g_A$ gauge group is a direct product of two nonperturbative groups. We also find that the first $g_A$ gauge group is the product of two nonperturbative groups and the second is the product of two nonperturbative groups. We also find that the connection of the $g_A$ gauge group with the first $g_A$ gauge group is involutionless. We analyze the connection of the $g_A$ gauge group with the second $g_A$ gauge group and find that the connection is involutionless. Our results also show that the connection of $g_A$ gauge group with the first $g_A$ gauge group and the second $g_A$ gauge group is involutionless. In addition to the nonperturbative group field theory, we also study the connection between the group field theory and the Einsteintorsion theory. We find that the group field theory with the $g_A$ gauge group is a direct product of two nonperturbative groups and the Einsteintorsion theory is a direct product of two nonperturbative groups.