Renormalization group study of the(φ*φ)3model coupled to a Chern-Simons field
نویسندگان
چکیده
منابع مشابه
A Renormalization Group Study of the ( φ ∗ φ ) 3 Model coupled to a Chern - Simons Field ∗
We consider the model of a massless charged scalar field, in (2 + 1) dimensions, with a self interaction of the form λ(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 βλ which suggests that a dynam...
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In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion field, we verify that the dimension of operators of canonical dimension lower than three decreases as a function of the Chern-Simons coupling.
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We apply a soft version of the BPHZ subtraction scheme to the computation of two-loop corrections from an Abelian Chern-Simons field coupled to (massive) scalar matter with a λ(Φ†Φ)2 and ν(Φ†Φ)3 self-interactions. The two-loop renormalization group functions are calculated. We compare our results with those in the literature. PACS: 11.10.Gh, 11.10.Hi, 11.10.Kk Typeset using REVTEX ∗Copyright by...
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In (2+1) dimensions, we consider the model of a N flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and Thirring like terms. The four fermion interaction is not perturbatively renormalizable and the model is taken as an effective field theory in the region of low moment...
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We analyze an abelian gauge model in 3 dimensions which includes massless scalar matter fields. By controlling the trace anomalies with a local dilatation Ward identity, we show that, in perturbation theory and within the BPHZL scheme, the Chern-Simons term has no radiative corrections. This implies, in particular, the vanishing of the corresponding β function in the renormalization group equat...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2000
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.61.065003