Abstract
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 \( \left({\overline{\psi}}_i{\psi}^i\right)\left({\overline{\psi}}_j{\psi}^j\right) \) 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.
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ArXiv ePrint: 1603.05582
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Chester, S.M., Pufu, S.S. Anomalous dimensions of scalar operators in QED3 . J. High Energ. Phys. 2016, 69 (2016). https://doi.org/10.1007/JHEP08(2016)069
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DOI: https://doi.org/10.1007/JHEP08(2016)069