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On O(N)-Symmetric Gauged $\phi^6{}_{2+1}$ Theory with Chern-Simons Term
High Energy Physics - Theory · Submitted 7 Dec 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For all $\theta$, the theory is found to be driven to instability region at high momenta.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
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 $\theta$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 1.00 | 0.89 | 0.05 | unclear 0.57 |
| s1 | 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). | method 0.77 | 0.95 | 0.05 | asserted 1.00 |
| s2 | For all $\theta$, the theory is found to be driven to instability region at high momenta. | result 1.00 | 0.95 | 0.84 | asserted 1.00 |
| s3 | It is briefly discussed on radiative corrections to $\theta$. | contribution 0.87 | 0.48 | 0.03 | unclear 0.83 |
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The paper
Original abstract
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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Moreover, the effects of the CS coupling on the high-energy behavior of the model was considered in [ref] .
On the dynamical generation of the Maxwell term and scale invariance · The gap equations. · 0.81
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