Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation

Understand

In this paper we consider the complete momentum-independent quartic order truncation for the effective average action of a real Abelian rank 3 tensorial group field theory.

• This complete truncation includes non-melonic as well as double-trace interactions.
• In the usual functional renormalization group perspective, the inclusion of more operators that belong to the underlying theory space corresponds to an improvement of the truncation of the effective average action.
• We show that the inclusion of non-melonic and double-trace operators in the truncation brings subtleties.