The all-loop non-Abelian Thirring model and its RG flow
Abstract
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.
Cite
@article{arxiv.1404.3748,
title = {The all-loop non-Abelian Thirring model and its RG flow},
author = {Georgios Itsios and Konstadinos Sfetsos and Konstadinos Siampos},
journal= {arXiv preprint arXiv:1404.3748},
year = {2015}
}
Comments
1+12 pages, Latex, v2: few minor changes, PLB version