Asymptotic Scale Invariance in a Non-Abelian Chern-Simons-Matter Model: An Application of the Reduction of Coupling Parameters
نویسنده
چکیده
The general method of reduction in the number of coupling parameters is applied in a Chern-Simons-matter model with several independent couplings. We claim that considering the asymptotic region, and expressing all dimensionless coupling parameters as functions of the Chern-Simons coupling, it is possible to show that all β-functions vanish to any order of perturbative series. Therefore, the model is asymptotically scale invariant.
منابع مشابه
Scale Invariance in a Non-Abelian Chern-Simons-Matter Model
The general method of reduction in the number of coupling parameters is applied to a Chern-Simons-matter model with several independent couplings. We claim that considering the asymptotic region, and expressing all dimensionless coupling parameters as functions of the Chern-Simons coupling, it is possible to show that all β-functions vanish to any order of the perturbative series. Therefore, th...
متن کاملAsymptotic Conformal Invariance in a Non-Abelian Chern-Simons-Matter Model
One shows here the existence of solutions to the Callan-Symanzik equation for the non-Abelian SU(2) Chern-Simons-matter model which exhibits asymptotic conformal invariance to every order in perturbative theory. The conformal symmetry in the classical domain is shown to hold by means of a local criteria based on the trace of the energy-momentum tensor. By using the recently exhibited regimes fo...
متن کاملInconsistency of Naive Dimensional Regularizations and Quantum Correction to Non-Abelian Chern-Simons-Matter Theory Revisited
We find the inconsistency of dimensional reduction and naive dimensional regularization in their applications to Chern-Simons type gauge theories. Further we adopt a consistent dimensional regularization to investigate the quantum correction to non-Abelian Chern-Simons term coupled with fermionic matter. Contrary to previous results, we find that not only the Chern-Simons coefficient receives q...
متن کاملA Simple Proof of the Non-Renormalization of the Chern-Simons Coupling
We give a very simple proof that the renormalization of the Chern-Simons coupling in the Wilsonian effective action is exhausted at one-loop. Our proof can apply to arbitrary 2+1-dimensional abelian as well as nonabelian gauge theories without a bare Chern-Simons coupling, including any non-renormalizable interactions and non-minimal couplings. Our proof reveals that small (but not large) gauge...
متن کاملN=2–Maxwell-Chern-Simons model with anomalous magnetic moment coupling via dimensional reduction
An N=1–supersymmetric version of the Cremmer-Scherk-Kalb-Ramond model with non-minimal coupling to matter is built up both in terms of superfields and in a component-field formalism. By adopting a dimensional reduction procedure, the N=2–D=3 counterpart of the model comes out, with two main features: a genuine (diagonal) Chern-Simons term and an anomalous magnetic moment coupling between matter...
متن کامل