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The relation between Pauli and γ representation in QED3 and induced Chern-Simons term |
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| Authors: | Song Shi WeiMin Sun HongShi Zong |
| Institution: | 1. Department of Physics, Nanjing University, Nanjing, 210093, China 2. Joint Center of Particle, Nuclear Physics and Cosmology, Nanjing University and PMO, Nanjing, 210093, China 3. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China |
| 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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