Abstract
Abstract
We study regularization scheme dependence of β-function for sigma models with two-dimensional target space. Working within four-loop approximation, we conjecture the scheme in which the β-function retains only two tensor structures up to certain terms containing ζ3. Using this scheme, we provide explicit solutions to RG flow equation corresponding to Yang-Baxter- and λ-deformed SU(2)/U(l) sigma models, for which these terms disappear.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference43 articles.
1. M. Kompaniets and E. Panzer, Renormalization group functions of ϕ4 theory in the MS-scheme to six loops, PoS LL2016 (2016) 038 [arXiv:1606.09210] [INSPIRE].
2. G. ’t Hooft and M.J.G. Veltman, Regularization and renormalization of gauge fields, Nucl. Phys. B 44 (1972) 189 [INSPIRE].
3. G. ’t Hooft, Dimensional regularization and the renormalization group, Nucl. Phys. B 61 (1973) 455 [INSPIRE].
4. K.G. Wilson and J.B. Kogut, The renormalization group and the ϵ-expansion, Phys. Rept. 12 (1974) 75 [INSPIRE].
5. Y. Ilyashenko and S. Yakovenko, Lectures on analytic differential equations, American Mathematical Society, U.S.A. (2007).