Fermions and Correlations in the Two-Dimensional Ising Model

Physics – High Energy Physics – High Energy Physics - Theory

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Proceedings of the Bogolyubov Conference on Problems in Mathematical and Theoretical Physics, September 2--6, 2004, MIRAS--JIN

Scientific paper

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.

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