| Autor: |
Kompaniets, M. V., Kudlis, A., Sokolov, A. I. |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Phys. Rev. E 103, 022134 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevE.103.022134 |
| Popis: |
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 $4-\epsilon$ space dimensions. For this purpose the $\phi^4$ field theory with cubic symmetry was analyzed in the replica limit $n\rightarrow 0$. Along with renormalization group expansions in terms of renormalized couplings the $\sqrt{\varepsilon}$ 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 $\sqrt{\varepsilon}$ 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 $\sqrt{\varepsilon}$ series themselves turned out to be disappointing. |
| Databáze: |
arXiv |
| Externí odkaz: |
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