Посилання:Introduction to renormalization / Yu. Holovatch // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 237–262. — Бібліогр.: 34 назв. — англ.
Підтримка:I am grateful to Bertrand Berche, Arnaldo Donoso, and Ricardo Paredes for the invitation
to lecture at the Spring school on Foundations of statistical and mesoscopic physics (Mochima,
Venezuela, June 20th–24th 2005) and to all participants of the school for the wonderful atmosphere
created there. Bertrand Berche is further acknowledged for his encouragement, advice during
preparation of the manuscript and, last but not least, for his stories about the Cagniard de la Tour state, the critical state discovered as early as in 1822 [1]! I thank my colleagues Viktoria Blavats’ka,
Bertrand Delamotte, Maxym Dudka, Christian von Ferber, Reinhard Folk, Dmytro Ivaneiko, Taras
Yavors’kii – some of the results mentioned in the last part of these lectures are due to our common
work.
This work was supported by Austrian Fonds zur F¨orderung der wissenschaftlichen Forschung
under Project No. P16574.
In these lectures I discuss peculiarities of the critical behaviour of “non-ideal” systems as it is explained by
the renormalization group approach. Examples considered here include account of the single-ion anisotropy,
structural disorder, frustrations. I introduce main ideas of renormalization and show how it serves the explanation
of typical features of criticality in the above systems: softening of the phase transition, changes in the
universality class, complicated effective critical behaviour