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The relation between Pauli and γ representation in QED_3 and induced Chern-Simons term

The relation between Pauli and γ representation in QED_3 and induced Chern-Simons term
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摘要 In this letter,we propose to introduce a new Abelian gauge field Bμcorresponding 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 Bμfield can generate a Chern-Simons term in perturbation theory.A comparison is made between the induced Chern-Simons term in theγrepresentation and that in Pauli representation. In this letter, we propose to introduce a new Abelian gauge field Bu corresponding to tile so-called symmetry into the normal Quantum Electrodynamics in 2+ 1 dimensions (QED3) of'y 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 Bu field can generate a Chern- Simons term in perturbation theory. A comparison is made between the induced Chern-Simons term in the ), representation and that in Pauli representation.
出处 《Chinese Science Bulletin》 SCIE EI CAS 2013年第31期3735-3737,共3页
基金 supported in part by the National Natural Science Foundation of China(10935001 and 11075075) the Research Fund for the Doctoral Program of Higher Education(2012009111002)
关键词 陈省身 诱导 量子电动力学 摄动理论 规范场 阿贝尔 费米子 双组分 QED3, gauge field, Chern-Simons term
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