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Dynamical Effects of Chern-Simons Term

Deog Ki Hong
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Abstract

We study how the Chern-Simons term effects the dynamically generated fermion mass in $(2+1)D$ Quantum Electrodynamics in the framework of large $N$ expansion. We find that when the Chern-Simons term is present half of the fermions get mass $M+m$ and half get $M-m$. The parity-preserving mass $m$ is generated only when $N<\tilde{N}_c$. Both the critical number, $\tilde{N}_c$, of fermion flavor and the magnitude, $m$, reduce when the effect of the Chern-Simons term dominates.

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Deog Ki Hong. 1993-07-30. Dynamical Effects of Chern-Simons Term. https://arxiv.org/abs/hep-th/9307187

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