Fermions and Correlations in the Two-Dimensional Ising Model
High Energy Physics - Theory
2007-05-23 v2 Statistical Mechanics
High Energy Physics - Lattice
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.hep-th/0512263,
title = {Fermions and Correlations in the Two-Dimensional Ising Model},
author = {V. N. Plechko},
journal= {arXiv preprint arXiv:hep-th/0512263},
year = {2007}
}
Comments
Proceedings of the Bogolyubov Conference on Problems in Mathematical and Theoretical Physics, September 2--6, 2004, MIRAS--JINR, Moscow--Dubna, Russia. LaTeX, 9 pages