Series expansions without diagrams

Details Series expansions without diagrams Series expansions without diagrams

1993-03-04

arxiv.org/abs/hep-lat/9303002v1

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, IASSNS-HEP-93/11

Scientific paper

10.1103/PhysRevE.49.2445

We discuss the use of recursive enumeration schemes to obtain low and high temperature series expansions for discrete statistical systems. Using linear combinations of generalized helical lattices, the method is competitive with diagramatic approaches and is easily generalizable. We illustrate the approach using the Ising model and generate low temperature series in up to five dimensions and high temperature series in three dimensions. The method is general and can be applied to any discrete model. We describe how it would work for Potts models.

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