Finite cluster partition functions for the D-vector model
- 1 June 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (6) , 983-998
- https://doi.org/10.1088/0305-4470/9/6/017
Abstract
Systematic methods are developed for calculating the partition functions of star topologies in the D-vector model. A particularly simple technique (ladder transformation) is proposed for topologies containing a 2-cycle (ladder topologies), and these constitute numerically the majority of star topologies. The fewer non-ladder topologies need individual attention and three methods are suggested (i) making a selected bond infinite, (ii) using direct averages, (iii) considering the behaviour as D to infinity . By suitable renormalization of the interaction it is shown that as D to 0 the self-avoiding walk model results.Keywords
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