Introduction to the non-perturbative renormalized group. (English) Zbl 1138.82013

Delamotte, Bertrand

Holovatch, Yurij (ed.), Order, disorder and criticality. Advanced problems of phase transition theory. Vol. 2. Hackensack, NJ: World Scientific (ISBN 978-981-270-767-3/hbk). 1-77 (2007).

Summary: An elementary introduction to the non-perturbative renormalization group is presented mainly in the context of statistical mechanics. No prior knowledge of field theory is necessary. The aim of this article is not to give an extensive overview of the subject but rather to focus on conceptual aspects and to explain in detail the main technical steps. It should be taken as an introduction to more advanced readings.
For the entire collection see [Zbl 1123.82003].

MSC:

82B28	Renormalization group methods in equilibrium statistical mechanics
82B27	Critical phenomena in equilibrium statistical mechanics
82B20	Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

Keywords:

Wilson’s renormalization group; spin-spin correlation function; average action method