Abstract
In this letter, we propose to introduce a new Abelian gauge field B μ corresponding to the so-called β symmetry into the normal Quantum Electrodynamics in 2+1 dimensions (QED3) of γ representation. The resulting theory is shown to be equivalent to QED3 containing two flavors of two-component fermions with mass of an opposite sign. We also show that B μ field can generate a Chern-Simons term in perturbation theory. A comparison is made between the induced Chern-Simons term in the γ representation and that in Pauli representation.
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Shi, S., Sun, W. & Zong, H. The relation between Pauli and γ representation in QED3 and induced Chern-Simons term. Chin. Sci. Bull. 58, 3735–3737 (2013). https://doi.org/10.1007/s11434-013-6014-9
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DOI: https://doi.org/10.1007/s11434-013-6014-9