| Autor: |
Adzhemyan, L. Ts., Ivanova, E. V., Kompaniets, M. V., Kudlis, A., Sokolov, A. I. |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Nucl. Phys. B 940 (2019) 332-350 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.nuclphysb.2019.02.001 |
| Popis: |
The six-loop expansions of the renormalization-group functions of $\varphi^4$ $n$-vector model with cubic anisotropy are calculated within the minimal subtraction (MS) scheme in $4 - \varepsilon$ dimensions. The $\varepsilon$ expansions for the cubic fixed point coordinates, critical exponents corresponding to the cubic universality class and marginal order parameter dimensionality $n_c$ separating different regimes of critical behavior are presented. Since the $\varepsilon$ expansions are divergent numerical estimates of the quantities of interest are obtained employing proper resummation techniques. The numbers found are compared with their counterparts obtained earlier within various field-theoretical approaches and by lattice calculations. In particular, our analysis of $n_c$ strengthens the existing arguments in favor of stability of the cubic fixed point in the physical case $n = 3$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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