On loop corrections to integrable 2D sigma model backgrounds
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- January 2022
- DOI:
- 10.1007/JHEP01(2022)043
- arXiv:
- arXiv:2110.05418
- Bibcode:
- 2022JHEP...01..043A
- Keywords:
-
- Sigma Models;
- Renormalization Group;
- Integrable Field Theories;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 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