On the six-loop scaling dimensions of the $({\varphi }^2{)}^n$ operators in $d=3$

A. V. Bednyakov, M. V. Kompaniets, A. V. Trenogin

We consider a class of singlet operators $({\varphi }^2{)}^n$ in the three-dimensional $O(N)$ model with ${\lambda }^2{\varphi }^6$ interaction. Recently, the corresponding anomalous dimensions ${\gamma }_{2n}$ were…