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

Georgios Itsios (Department of Mathematics, University of Patras, Patras, 26110, Greece) ; Konstadinos Sfetsos (Department of Physics, University of Athens, Athens, 15771, Greece) ; Konstadinos Siampos (Mécanique et Gravitation, Université de Mons, Mons, 7000, Belgium)

We analyze the renormalization group flow in a recently constructed class of integrable σ -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 λ and they exhibit a remarkable invariance involving the inversion of λ . We compute the β -function for λ to leading order in 1k . Based on agreement with previous results for the exact β -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 .

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      "title": "The all-loop non-Abelian Thirring model and its RG flow"
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      "value": "We analyze the renormalization group flow in a recently constructed class of integrable \u03c3 -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 \u03bb and they exhibit a remarkable invariance involving the inversion of \u03bb . We compute the \u03b2 -function for \u03bb to leading order in 1k . Based on agreement with previous results for the exact \u03b2 -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 ."
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Published on:
05 May 2014
Publisher:
Elsevier
Published in:
Physics Letters B (2014)

DOI:
https://doi.org/10.1016/j.physletb.2014.04.061
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: