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

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

2001-12-17

arxiv.org/abs/hep-th/0112149v1

Phys.Lett. B528 (2002) 163-168

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e 8 pages

Scientific paper

10.1016/S0370-2693(02)01201-7

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 $\beta$-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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