Anomalous dimensions of scalar operators in QED 3

The infrared dynamics of 2 + 1 dimensional quantum electrodynamics (qed3) with a large number n of fermion flavors is governed by an interacting cft that can be studied in the 1/n expansion. we use the 1/n expansion to calculate the scaling dimensions of all the lowest three scalar operators that transform under the su(n ) flavor symmetry as a young diagram with two columns of not necessarily equal heights and that have vanishing topological charge. in the case of su(n ) singlets, we study the mixing of $$ left({overline{psi}}_i{psi}^iright)left({overline{psi}}_j{psi}^jright) $$ and f μν f μν , which are the lowest dimension parity-even singlets. our results suggest that these operators are irrelevant for all n > 1.