Anomalous dimensions of scalar operators in QED3

Shai M. Chester, Silviu S. Pufu
2016 Journal of High Energy Physics  
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
more » ... ng of (ψ̅_i ψ^i)(ψ̅_j ψ^j) 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.
doi:10.1007/jhep08(2016)069 fatcat:bzdq2agzujfhpmxlail46xnwou