Zhao, WY , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属:
Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要:
By perturbative calculations of the high-temperature ground-state axial vector current of fermion fields coupled to gauge fields, an anomalous Chern-Simons topological mass term is induced in the three-dimensional effective action. The anomaly in three dimensions appears just in the groundstate current rather than in the divergence of ground-state current. In the Abelian case: the contribution comes only from the vacuum polarization graph, whereas in the non-Abelian case, contributions come from the vacuum polarization graph and the two triangle graphs. The relation between the quantization of the Chern-Simons coefficient and the Dirac quantization condition of magnetic charge is also obtained. It implies that in a (2+1)-dimensional QED with the Chern-Simons topological mass term and a magnetic monopole with magnetic charge g present, the Chern-Simons coefficient must be also quantized, just as in the non-Abelian case.
Zhao, WY. The Chern-Simons term induced at high temperature and the quantization of its coefficient[J]. EUROPEAN PHYSICAL JOURNAL C,1999,11(4):733-738.
