Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder
High Energy Physics - Theory
2007-05-23 v1 Statistical Mechanics
High Energy Physics - Lattice
Abstract
The notion of the integral over the anticommuting Grassmann variables is applied to analyze the fermionic structure of the 2D Ising model with quenched site dilution. In the -replica scheme, the model is explicitly reformulated as a theory of interacting fermions on a lattice. For weak dilution, the continuum-limit approximation implies the log-log singularity in the specific heat near .
Cite
@article{arxiv.hep-th/9906107,
title = {Fermionic Path Integrals and Two-Dimensional Ising Model with Quenched Site Disorder},
author = {V. N. Plechko},
journal= {arXiv preprint arXiv:hep-th/9906107},
year = {2007}
}
Comments
LaTeX, 5 pages, no figures. A plenary talk at the 6th International Conference on Path Integrals from peV to TeV, August 25--29, 1998, Florence, Italy