Free Fermions and Two-Dimensional Ising Model
Mathematical Physics
2007-05-23 v1 Statistical Mechanics
High Energy Physics - Lattice
High Energy Physics - Theory
math.MP
Abstract
The two-dimensional Ising model is representable as a lattice free-fermion field theory in terms of the integral over anticommuting Grassmann variables. The exact solution in a zero magnetic field then follows by evaluating Gaussian fermionic integral for partition function. It is argued that by switching on of a non-zero magnetic field the non-local and non-Gaussian fermionic terms appear in the action, which rather imply approximating methods of the analysis.
Cite
@article{arxiv.math-ph/0411084,
title = {Free Fermions and Two-Dimensional Ising Model},
author = {V. N. Plechko},
journal= {arXiv preprint arXiv:math-ph/0411084},
year = {2007}
}
Comments
LaTeX, 6 pages, no figures