A Q-operator for the quantum transfer matrix

Simple item page
dc.creatorKorff, Christian
dc.date2006-10-12
dc.date2006-10-24
dc.date.accessioned2026-07-07T07:55:27Z
dc.date.available2026-07-07T07:55:27Z
dc.descriptionBaxter'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.
dc.description20 pages, v2: some minor style improvements
dc.identifierhttps://arxiv.org/abs/math-ph/0610028
dc.identifierhttp://arxiv.org/abs/math-ph/0610028
dc.identifierJ. Phys. A: Math. Gen. 40 (2007) 3749-3774
dc.identifierdoi:10.1088/1751-8113/40/14/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126973
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectExactly Solvable and Integrable Systems
dc.titleA Q-operator for the quantum transfer matrix
dc.typetext

Files

Collections

arXiv