Real Space Renormalization in Statistical Mechanics

Understand

This paper discusses methods for the construction of approximate real space renormalization transformations in statistical mechanics.

• In particular, it compares two methods of transformation: the "potential-moving" approach most used in the period 1975-1980 and the "rewiring method" as it has been developed in the last five years.
• These methods both employ a parameter, called \chi, that measures the complexity of the localized stochastic variable forming the basis of the analysis.
• Both methods are here exemplified by calculations in terms of fixed points for the smallest possible values of \chi.