The use of anticommuting variable integrals in statistical mechanics. III. Unsolved models
- 1 December 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (12) , 2820-2833
- https://doi.org/10.1063/1.524406
Abstract
The Ising model in three dimensions is fermionized by using integrals over anticommuting variables. The result is generalized to the Ising model in arbitrary dimensions and in a magnetic field. Approximation methods are developed to attack unsolved statistical mechanics models.Perturbation theory and the Hartree approximation are applied to the unsolved monomer‐dimer problems. The result is a numerical solution to this unsolved class of problems. Anticommuting variables appear to be a powerful approach to unsolved problems.Keywords
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