Hidden Grassmann structure in the XXZ model
High Energy Physics - Theory
2008-11-26 v4 Quantum Algebra
Abstract
For the critical XXZ model, we consider the space W of operators which are products of local operators with a disorder operator. We introduce two anti-commutative family of operators b(z), c(z) which act on the space W. These operators are constructed as traces over representations of the q-oscillator algebra, in close analogy with Baxter's Q-operators. We show that the vacuum expectation values of operators in W can be expressed in terms of an exponential of a quadratic form of b(z), c(z).
Cite
@article{arxiv.hep-th/0606280,
title = {Hidden Grassmann structure in the XXZ model},
author = {H. Boos and M. Jimbo and T. Miwa and F. Smirnov and Y. Takeyama},
journal= {arXiv preprint arXiv:hep-th/0606280},
year = {2008}
}
Comments
20 pages, no figure, minor misprints corrected