Cluster expansions for the Ising and Heisenberg spin models in Hamiltonian lattice field theory
- 7 September 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (17) , 3653-3661
- https://doi.org/10.1088/0305-4470/22/17/030
Abstract
Cluster expansion methods are applied to calculate 'high-temperature' series for the vacuum energy, the susceptibility and the mass gap for the Ising model and the O(2) and O(3) Heisenberg models in (1+1) dimensions and (2+1) dimensions. Critical points and critical indices are estimated for the line, the square and the triangular lattices. The results demonstrate universality with the normal Euclidean versions of these models, within errors.Keywords
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