Fermions and Correlations in the Two-Dimensional Ising Model
arXiv:hep-th/0512263
Abstract
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.
arXiv commentProceedings of the Bogolyubov Conference on Problems in Mathematical and Theoretical Physics, September 2--6, 2004, MIRAS--JINR, Moscow--Dubna, Russia. LaTeX, 9 pages