Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-02-05
Phys. Rev. B 57 No 10, 5704-5710 (1998)
Physics
Condensed Matter
Statistical Mechanics
14 pages, LaTeX, no figures. To be published in Phys. Rev. B, V.57 (1998)
Scientific paper
10.1103/PhysRevB.57.5704
The structure of the renormalization-group flows in a model with three quartic coupling constants is studied within the $\epsilon$-expansion method up to three-loop order. Twofold degeneracy of the eigenvalue exponents for the three-dimensionally stable fixed point is observed and the possibility for powers in $\sqrt{\epsilon}$ to appear in the series is investigated. Reliability and effectiveness of the $\epsilon$-expansion method for the given model is discussed.
Mudrov Andrei
Varnashev Konstantin
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