Physics NotePublished
Asymptotic Conformal Invariance in a Non-Abelian Chern-Simons-Matter Model
J.L. Acebal
2002
Publication details
- Authors
- J.L. Acebal
- Type
- Physics Note
- Status
- Published
- Publication date
- 2002
- Description
- 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.
- Year
- 2002
- Number
- CBPF-NF-027/02
- Linked to a thesis
- No
- Linked to a grant
- No