On O(N)-Symmetric Gauged $φ^6{}_{2+1}$ Theory with Chern-Simons Term

Details On O(N)-Symmetric Gauged $φ^6{}_{2+1}$ Theory with Chern-Simons Term On O(N)-Symmetric Gauged $φ^6{}_{2+1}$ Theory with Chern-Simons Term

1994-12-07

arxiv.org/abs/hep-th/9412057v1

Phys.Rev. D51 (1995) 5958-5960

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTex file

Scientific paper

10.1103/PhysRevD.51.5958

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta(\phi^\dagger\phi)^3$ theory with a Chern-Simons term. The effective potential and the $\beta$ function for $\eta$ are calculated to the next-to-leading order of the $1/N$ expansion as functions of $\theta$ (the Chern-Simons coupling). For all $\theta$, the theory is found to be driven to instability region at high momenta. It is briefly discussed on radiative corrections to $\theta$.

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