The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion
Document Type
Article
Publication Date
2-16-2022
Abstract
We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.
Identifier
85120532122 (Scopus)
Publication Title
Physics Letters Section A General Atomic and Solid State Physics
External Full Text Location
https://doi.org/10.1016/j.physleta.2021.127870
ISSN
03759601
Volume
425
Grant
1/0535/21
Fund Ref
Ministerstvo školstva, vedy, výskumu a športu Slovenskej republiky
Recommended Citation
Adzhemyan, L. Ts; Evdokimov, D. A.; Hnatič, M.; Ivanova, E. V.; Kompaniets, M. V.; Kudlis, A.; and Zakharov, D. V., "The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion" (2022). Faculty Publications. 3114.
https://digitalcommons.njit.edu/fac_pubs/3114
