Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models
Statistical Mechanics
2007-05-23 v1 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We discuss some aspects of a new noncombinatorial fermionic approach to the two-dimensional dimer problem in statistical mechanics based on the integration over anticommuting Grassmann variables and factorization ideas for dimer density matrix. The dimer partition function can be expressed as a Gaussian fermionic integral. For regular lattices, the analytic solution then follows by passing to the momentum space for fermions.
Cite
@article{arxiv.cond-mat/9711156,
title = {Grassmann Variables and Exact Solutions for Two-Dimensional Dimer Models},
author = {R. Hayn and V. N. Plechko},
journal= {arXiv preprint arXiv:cond-mat/9711156},
year = {2007}
}
Comments
LaTeX, 1 + 10 pages, no figures. A talk given at the VIII International Conference on Symmetry Methods in Physics, JINR, Dubna, Russia, July 28 - August 2, 1997, to appear in the proceedings