DI-UMONS : Dépôt institutionnel de l’université de Mons

Recherche transversale
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2014-04-14 - Article/Dans un journal avec peer-review - Anglais - 13 page(s)

Itsios Georgios, Sfetsos Konstadinos, Siampos Konstantinos, "The all-loop non-Abelian Thirring model and its RG flow" in Physics Letters B, 733, 265-269

  • Edition : Elsevier, Amsterdam (Netherlands)
  • Codes CREF : Physique théorique et mathématique (DI1210), Gravitation (DI1216)
  • Unités de recherche UMONS : Mécanique et gravitation (S884S)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We analyze the renormalization group flow in a recently constructed class of integrable sigma-models which interpolate between WZW current algebra models and the non-Abelian T-duals of PCM for a simple group G. They are characterized by the integer level k of the current algebra, a deformation parameter lambda and they exhibit a remarkable invariance involving the inversion of lambda. We compute the beta-function for lambda to leading order in 1/k. Based on agreement with previous results for the exact beta-function of the non-Abelian Thirring model and matching global symmetries, we state that our integrable models are the resummed version (capturing all counterterms in perturbation theory) of the non-Abelian Thirring model for a simple group G. Finally, we present an analogous treatment in a simple example of a closely related class of models interpolating between gauged WZW coset CFTs and the non-Abelian T-duals of PCM for the coset G/H.