Introduction to renormalization

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Lecture given at the Mochima spring school on foundations of statistical and mesoscopic physics, Mochima, Venezuela, June 2006

Scientific paper

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.

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