A Renormalization Group Study of the $(φ^* φ)^3$ Model coupled to a Chern-Simons Field

Details A Renormalization Group Study of the $(φ^* φ)^3$ Model coupled to a Chern-Simons Field A Renormalization Group Study of the $(φ^* φ)^3$ Model coupled to a Chern-Simons Field

2000-01-31

arxiv.org/abs/hep-th/0001221v1

Phys.Rev.D61:065003,2000

Physics

High Energy Physics

High Energy Physics - Theory

21 pages (revtex), 11 figures (eps). To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.61.065003

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions of the coupling constants and the anomalous dimensions $\gamma$ of the basic fields. We show that the interaction with the Chern Simons field implies in a $\beta_{\lambda}$ which suggests that a dynamical symmetry breakdown occurs. We also study the effect of the Chern Simons field on the anomalous dimensions of the composite operators $(\phi^* \phi)^n$, getting the result that their operator dimensions are lowered.

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