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

Abstract

I investigate the effects of the Chern-Simons coupling on high-energy behavior in $2+1$ dimensional U(1) gauged $\eta ({\varphi }^{†}\varphi {)}^3$ 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 $\theta$.

arXiv comment9 pages, LaTex file

References in corpus (1)

• $\theta$ Effects in Chern-Simons ${\mathrm{QED}}_{2+1}$ with a Four-Fermi Interaction