Fermions and Correlations in the Two-Dimensional Ising Model

Phys.Part.Nucl. 36 (2005) S203-S208 The anticommuting analysis with Grassmann variables is applied to the two-dimensional Ising model in statistical mechanics. The discussion includes the transformation of the partition function into a Gaussian fermionic integral, the momentum-space representation a...

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1. Verfasser: Plechko, V. N
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Sprache:eng
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Zusammenfassung:Phys.Part.Nucl. 36 (2005) S203-S208 The anticommuting analysis with Grassmann variables is applied to the two-dimensional Ising model in statistical mechanics. The discussion includes the transformation of the partition function into a Gaussian fermionic integral, the momentum-space representation and the spin-fermion correspondence at the level of the correlation functions.
DOI:10.48550/arxiv.hep-th/0512263