Analysis of the 3d massive renormalization group perturbative expansions: a delicate case

• Published in: Condensed Matter Physics
• Date: 2010
• Main Authors: Delamotte, B., Dudka, M., Holovatch, Yu., Mouhanna, D.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/32132
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analysis of the 3d massive renormalization group perturbative expansions: a delicate case / B. Delamotte, M. Dudka, Yu. Holovatch, D. Mouhanna // Condensed Matter Physics. — 2010. — Т. 13, № 4. — С. 43703:1-16. — Бібліогр.: 61 назв. — англ.

The effectiveness of the perturbative renormalization group approach at fixed space dimension d in the theory of critical phenomena is analyzed. Three models are considered: the O(N) model, the cubic model and the antiferromagnetic model defined on the stacked triangular lattice. We consider all mod...