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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 φ4 field theory with cubic symmetry was analyzed in the replica limit n→0. Along with renormalization group expansions in terms of renormalized couplings the 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 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 ɛ series themselves turned out to be disappointing.
Original language | English |
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Article number | 022134 |
Number of pages | 11 |
Journal | Physical Review E |
Volume | 103 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2021 |
ID: 74117231