Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-01-13
Phys.Rev. D60 (1999) 105020
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 9 figures, Version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.60.105020
Dynamical mass generation of a two-component fermion in $QED_3$ with a Chern-Simons term is investigated by solving the Schwinger-Dyson equation formulated in the lowest ladder approximation. Dependence of the dynamical fermion mass on a gauge-fixing parameter, a gauge coupling constant, and a topological mass is examined by approximated analytical and also numerical methods. The inclusion of the Chern-Simons term makes impossible to choose a peculiar gauge in which a wave function renormalization is absent. The numerical evaluation shows that the wave function renormalization is fairly close to 1 in the Landau gauge. It means that this gauge is still a specific gauge where the Ward-Takahashi identity is satisfied approximately. We also find that the dynamical mass is almost constant if the topological mass is larger than the coupling constant, while it decreases when the topological mass is comparable to or smaller than the coupling constant and tends to the value in $QED_3$ without the Chern-Simons term.
Matsuyama Toyoki
Nagahiro Hideko
Uchida Satoko
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