Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories

Understand

Tensor models admit the large $N$ limit, dominated by the graphs called melons.

• The melons are characterized by the Gurau number $\varpi=0$ and the amplitude of the Feynman graphs are proportional to $N^{-\varpi}$.
• Other leading order contributions i.e.
• $\varpi> 0$ called pseudo-melons can be taken into account in the renormalization program.