Rectangular renormalization
نویسنده
چکیده
A generalized real-space renormalization scheme is developed for geometrical critical phenomena The renormalization group is parametrized by the standard length-scaling factor and a new redangular area-fraction factor. This rectangular renormalization scheme utilizes relatively small r e m g u l a r sublanices to effeaively renormalize large square lattices. With the area-fraction factor, one can systematically study rectangular generalizations of the conventional square-cell renormalization theories. Application to self-avoiding random walks yields critical descriptors that are comparable to, and in most cases better than previous results obtained from more complex renormaliration schemes.
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