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arXiv · hep-th/9210149

Driving Operators Relevant: A Feature of Chern-Simons Interaction

Wei Chen·Miao Li
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Abstract

By computing anomalous dimensions of gauge invariant composite operators $(\barψψ)^n$ and $(ϕ^*ϕ)^n$ in Chern-Simons fermion and boson models, we address that Chern-Simons interactions make these operators more relevant or less irrelevant in the low energy region. We obtain a critical Chern-Simons fermion coupling, ${1\over κ_c^2} = {6\over 19}$, for a phase transition at which the leading irrelevant four-fermion operator $(\barψψ)^2$ becomes marginal, and a critical Chern-Simons boson coupling, ${1\over κ_c^2} = {6\over 34}$, for a similar phase transition for the leading irrelevant operator $(ϕ^*ϕ)^4$. We see this phenomenon also in the $1/N$ expansion.

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Wei Chen, Miao Li. 1992-10-28. Driving Operators Relevant: A Feature of Chern-Simons Interaction. https://doi.org/10.1103/physrevlett.70.884

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