Hidden Grassmann structure in the \(XXZ\) model
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.
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