Abstract
Abstract
We revisit the two dimensional non-Abelian Thirring model in order to investigate its fixed point structure and the corresponding renormalization group (RG) flow. For this purpose we discuss the bosonization of the model, and we present different, but of course equivalent, bosonic versions of the theory. The bosonic theories are illuminating in that they exhibit the fixed points in a manifest way, and also possess a remarkable strong/weak duality that sheds light on the fixed point structure of the theory. We study the RG flow through the computation of the Zamolodchikov C-function and of the β-function in the large-level limit. Within this framework, we discuss how close to the infrared fixed point the RG flow can reach, since this point is strictly unachievable due to an emergent gauge invariance.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference38 articles.
1. Y. Frishman and J. Sonnenschein, Non-perturbative field theory: From two-dimensional conformal field theory to QCD in four dimensions, Cambridge University Press (2014) [https://doi.org/10.1017/CBO9780511770838] [INSPIRE].
2. T. Giamarchi, Quantum physics in one dimension, vol. 121, Clarendon press (2003).
3. A.O. Gogolin, A.A. Nersesyan and A.M. Tsvelik, Bosonization and strongly correlated systems, Cambridge university press (2004).
4. C.L. Kane, R. Mukhopadhyay and T.C. Lubensky, Fractional Quantum Hall Effect in an Array of Quantum Wires, Phys. Rev. Lett. 88 (2002) 036401.
5. J.C.Y. Teo and C.L. Kane, From Luttinger liquid to non-Abelian quantum Hall states, Phys. Rev. B 89 (2014) 085101.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献