New algorithm of the high-temperature expansion for the Ising model in three dimensions

Details New algorithm of the high-temperature expansion for the Ising model in three dimensions New algorithm of the high-temperature expansion for the Ising model in three dimensions

2002-09-03

arxiv.org/abs/hep-lat/0209019v1

Nucl.Phys.Proc.Suppl. 119 (2003) 855

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Lattice2002(spin)

Scientific paper

10.1016/S0920-5632(03)01701-8

New algorithm of the finite lattice method is presented to generate the high-temperature expansion series of the Ising model. It enables us to obtain much longer series in three dimensions when compared not only to the previous algorithm of the finite lattice method but also to the standard graphical method. It is applied to extend the high-temperature series of the simple cubic Ising model from beta^{26} to beta^{46} for the free energy and from beta^{25} to beta^{32} for the magnetic susceptibility.

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