Simplified tetrahedron equations: Fermionic realization
Statistical Mechanics
2007-05-23 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The natural generalization of the (two-dimensional) Yang-Baxter equations to three dimensions is known as the Zamolodchikov's tetrahedron equations. We consider a simplified version of these equations which still ensures the commutativity of the transfer matrices with different spectral parameters and we present a family of free fermionic solutions.
Keywords
Cite
@article{arxiv.cond-mat/0508148,
title = {Simplified tetrahedron equations: Fermionic realization},
author = {J. Ambjorn and Sh. Khachatryan and A. Sedrakyan},
journal= {arXiv preprint arXiv:cond-mat/0508148},
year = {2007}
}
Comments
Latex file, 24 pages, 4 figures