Hidden Grassmann structure in the \(XXZ\) model
type: Item
instance of: scholarly article
title: Hidden Grassmann structure in the \(XXZ\) model
zbMATH Open document ID: 1138.82008
author: Yanyan Li
published in: Communications in Mathematical Physics
publication date: 2008-02-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0606280
review text: This paper continues the authors' study of correlation functions in lattice integrable models. For the critical \(XXZ\) model, the authors consider the space \(W_{[\alpha]}\) of operators which are products of local operators with a disorder operator. It is shown that the vacuum expectation values of operators in \(W_{[\alpha]}\) can be expressed in terms of two anti-commutative families of operators \(\mathbf{b}(\zeta)\) and \(\mathbf{c}(\zeta)\) acting on \(W_{[\alpha]}\). These operators are constructed as traces over representations of the \(q\)-oscillator algebra.
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 5237984
zbMATH Keywords: \(XXZ\) model
zbMATH Keywords: local operators
zbMATH Keywords: disorder operator
zbMATH Keywords: \(q\)-oscillator algebra
reviewed by: Nasir N. Ganikhodjaev
MaRDI profile type: Publication
OpenAlex ID: W3100208007
arXiv ID: hep-th/0606280
cites work: A recursion formula for the correlation functions of an inhomogeneous XXX model
cites work: Reduced qKZ equation and correlation functions of the \(XXZ\) model
cites work: Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
cites work: Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet
cites work: Algebraic representation of correlation functions in integrable spin chains
cites work: Low energy effective Hamiltonian for the \(XXZ\) spin chain.
cites work: Q4323298
cites work: Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
cites work: Spin-spin correlation functions of the \(XXZ-1/2\) Heisenberg chain in a magnetic field
cites work: Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
cites work: Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
cites work: Integrable structure of conformal field theory. III: The Yang-Baxter relation
DOI: 10.1007/S00220-007-0202-X
description: scientific article