Generalized Migdal-Kadanoff Bond-moving Renormalization Recursion Procedure II: Symmetrical Half-length Bond Operation on Fractals

TL;DR

This paper introduces a new symmetrical bond-moving renormalization group method for fractals, specifically applied to the Gaussian model on Sierpinski gaskets, showing results consistent with previous studies.

Contribution

It presents a novel symmetrical bond operation in the Migdal-Kadanoff renormalization framework for fractals, expanding the methodological toolkit.

Findings

Consistent critical behavior results with existing studies

Effective application to the Gaussian model on Sierpinski gaskets

Enhances understanding of renormalization on fractal structures

Abstract

In this second part of the series of two papers we report another type of generalized Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures considering symmetrical single bond operations on fractals. The critical behavior of the spin-continuous Gaussian model constructed on the Sierpinski gaskets is studied as an example to reveal its predominance in application. Results obtained by this means are found to be in good conformity with those obtained from other studies.