Anomalous dimensions of scalar operators in QED(3)

Abstract

The infrared dynamics of 2+1 dimensional quantum electrodynamics (QED(3)) 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 ((psi) over bar (i),psi(i)) ((psi) over bar (j),psi(j)) and F mu nu F mu nu, which are the lowest dimension parity-even singlets. Our results suggest that these operators are irrelevant for all N > 1.