Hidden Grassmann structure in the \(XXZ\) model (Q2472463): Difference between revisions

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.