2021/10/31 by Mikhail Alfimov, Alexey Litvinov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Computer science #Conjecture #Flow (mathematics) #Function (biology) #Geometry #Integrable system #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Scheme (mathematics) #Sigma #Sigma model #Space (punctuation) #Tensor (intrinsic definition) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep01(2022)043
21 pages and 1 figure, v2: references added, corrected error in regularization scheme change, typos fixed, appendix B extended, commented on connection to DVV metric, v3: typos fixed, published JHEP version
openalex publication_date 2022/01/01 · arxiv created 2022/01/17 · arxiv updated 2022/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract 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 ζ 3 . 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.