$θ$ Effects in Chern-Simons ${\rm QED}_{2+1}$ with a Four-Fermi Interaction

Details $θ$ Effects in Chern-Simons ${\rm QED}_{2+1}$ with a Four-Fermi Interaction $θ$ Effects in Chern-Simons ${\rm QED}_{2+1}$ with a Four-Fermi Interaction

1992-11-02

arxiv.org/abs/hep-th/9211004v1

Phys.Rev. D48 (1993) 909-914

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 6 figures not included, LaTeX, SNUTP 92-92

Scientific paper

10.1103/PhysRevD.48.909

We investigate the effects of the Chern-Simons coupling on the high energy behavior in the $(2+1)$-dimensional Chern-Simons QED with a four-Fermi interaction. Using the $1/N$ expansion we discuss the Chern-Simons effects on the critical four-Fermi coupling at $O(1/N)$ and the $\beta$ function around it. High-energy behavior of Green's functions is also discussed. By explicit calculation, we find that the radiative correction to the Chern-Simons coupling vanishes at $O(1/N)$ in the broken phase of the dynamical parity symmetry. We argue that no radiative corrections to the Chern-Simons term arise at higher orders in the $1/N$ expansion.

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