Research output: Contribution to journal › Article › peer-review
The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion. / Adzhemyan, L. Ts; Evdokimov, D. A.; Hnatič, M.; Ivanova, E. V.; Kompaniets, M. V.; Kudlis, A.; Zakharov, D. V.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 425, 127870, 16.02.2022.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion
AU - Adzhemyan, L. Ts
AU - Evdokimov, D. A.
AU - Hnatič, M.
AU - Ivanova, E. V.
AU - Kompaniets, M. V.
AU - Kudlis, A.
AU - Zakharov, D. V.
N1 - Publisher Copyright: © 2021 Elsevier B.V.
PY - 2022/2/16
Y1 - 2022/2/16
N2 - 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.
AB - 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.
KW - Critical dynamic exponent z
KW - Critical dynamics
KW - Multi-loop calculation
KW - Renormalization group
KW - ε expansion
KW - RENORMALIZATION-GROUP
KW - UNIVERSALITY
KW - INTERFACE
KW - SYSTEMS
KW - MONTE-CARLO COMPUTATION
KW - NONEQUILIBRIUM RELAXATION
KW - e expansion
UR - http://www.scopus.com/inward/record.url?scp=85120532122&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2021.127870
DO - 10.1016/j.physleta.2021.127870
M3 - Article
AN - SCOPUS:85120532122
VL - 425
JO - Physics Letters A
JF - Physics Letters A
SN - 0375-9601
M1 - 127870
ER -
ID: 89755540