The all-loop non-Abelian thirring model and its RG flow

• Κύριοι συγγραφείς: Itsios, Georgios, Sfetsos, Konstadinos, Siampos, Konstadinos
• Άλλοι συγγραφείς: Ίτσιος, Γεώργιος
• Μορφή: Journal (paper)
• Γλώσσα: English
• Έκδοση: 2018
• Θέματα: High energy physics; Mathematical physics; Exactly solvable and integrable systems; SCOAP3; Φυσική υψηλών ενεργειών; Μαθηματική φυσική

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 bosonized 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 bosonized 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.