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Asymptotic Conformal Invariance in a Non-Abelian Chern-Simons-Matter Model

J. L. Acebal
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Abstract

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 for the dependence between the several couplings in which the set of $β$-functions vanish, the asymptotic conformal invariance of the model appears to be valid in the quantum domain. By considering the SU(n) case the possible non validity of the proof for a particular n would be merely accidental.

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J. L. Acebal. 2001-12-17. Asymptotic Conformal Invariance in a Non-Abelian Chern-Simons-Matter Model. https://doi.org/10.1016/s0370-2693(02)01201-7

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