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arXiv · hep-th/9412057

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

S. H. Park
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Abstract

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

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S. H. Park. 1994-12-07. On O(N)-Symmetric Gauged $ϕ^6{}_{2+1}$ Theory with Chern-Simons Term. https://doi.org/10.1103/physrevd.51.5958

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