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

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dc.creatorAlves, V. S.
dc.creatorGomes, M.
dc.creatorPinheiro, S. L. V.
dc.creatorda Silva, A. J.
dc.date2000-01-31
dc.date.accessioned2026-07-07T10:34:01Z
dc.date.available2026-07-07T10:34:01Z
dc.descriptionWe consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (ϕ^* ϕ)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $β$ functions of the coupling constants and the anomalous dimensions $γ$ of the basic fields. We show that the interaction with the Chern Simons field implies in a $β_λ$ 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 $(ϕ^* ϕ)^n$, getting the result that their operator dimensions are lowered.
dc.description21 pages (revtex), 11 figures (eps). To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/0001221
dc.identifierhttp://arxiv.org/abs/hep-th/0001221
dc.identifierPhys.Rev.D61:065003,2000
dc.identifierdoi:10.1103/PhysRevD.61.065003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179328
dc.subjectHigh Energy Physics - Theory
dc.titleA Renormalization Group Study of the $(ϕ^* ϕ)^3$ Model coupled to a Chern-Simons Field
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