DOI: https://doi.org/10.30970/jps.02.213
FIVE-LOOP CRITICAL EXPONENTS OF THE WEAKLY DILUTED ISING MODEL: 3D APPROACH VERSUS √ε-EXPANSION
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Journal of Physical Studies 2(2), 213–220 (1998)
DOI: https://doi.org/10.30970/jps.02.213 FIVE-LOOP CRITICAL EXPONENTS OF THE WEAKLY DILUTED ISING MODEL: 3D APPROACH VERSUS √ε-EXPANSION |
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R. Folk1, Yu. Holovatch2, T. Yavors'kii3
1Institut für Theoretische Physik Johannes Kepler Universität Linz
A–4040, Linz, Austria
2Institute for Condensed Matter Physics of the Ukrainian Academy of Sciences
1 Svientsitskii Str., UA–290011 Lviv, Ukraine
3Ivan Franko Lviv State University, Chair for Theoretical Physics
12 Drahomanov Str., UA–290005 Lviv, Ukraine
Based on the recently obtained five–loop renormalization group functions of the $ϕ^4$–theory with $O(n)$–symmetric and cubic interactions, we analyse these functions for the weakly diluted Ising model case $n=0$ both by means of the $√{ε}$–expansion and in the fixed $d=3$ technique. We apply different resummation procedures and report numerical values for the critical exponents dependent on the order of approximation. We compare the convergence of the results obtained in the framework of the two schemes.