Kompaniets M V, Kudlis A, Sokolov A I
Saint Petersburg State University, 7/9 Universitetskaya Embankment, St. Petersburg 199034, Russia.
ITMO University, Kronverkskiy prospekt 49, Saint Petersburg 197101, Russia.
Phys Rev E. 2021 Feb;103(2-1):022134. doi: 10.1103/PhysRevE.103.022134.
The critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in 4-ɛ space dimensions. For this purpose the ϕ^{4} field theory with cubic symmetry was analyzed in the replica limit n→0. Along with renormalization group expansions in terms of renormalized couplings the sqrt[ɛ] expansions of critical exponents are presented. Corresponding numerical estimates for the physical, three-dimensional system are obtained by means of different resummation procedures applied both to the sqrt[ɛ] series and to initial renormalization group expansions. The results given by the latter approach are in a good agreement with their counterparts obtained experimentally and within the Monte Carlo simulations, while resumming of sqrt[ɛ] series themselves turned out to be disappointing.
