A Q-operator for the quantum transfer matrix
摘要
Baxter's Q-operator for the quantum transfer matrix of the XXZ spin-chain is constructed employing the representation theory of quantum groups. The spectrum of this Q-operator is discussed and novel functional relations which describe the finite temperature regime of the XXZ spin-chain are derived. For non-vanishing magnetic field the previously known Bethe ansatz equations can be replaced by a system of quadratic equations which is an important advantage for numerical studies. For vanishing magnetic field and rational coupling values it is argued that the quantum transfer matrix exhibits a loop algebra symmetry closely related to the one of the classical six-vertex transfer matrix at roots of unity.
引用
@article{arxiv.math-ph/0610028,
title = {A Q-operator for the quantum transfer matrix},
author = {Christian Korff},
journal= {arXiv preprint arXiv:math-ph/0610028},
year = {2007}
}
备注
20 pages, v2: some minor style improvements