Correlation functions for the free-fermion model

Vladimir V. Bazhanov, Yu. G. Stroganov

Shao-you Zhao A, Wen‐Li Yang, Yao-Zhong Zhang

With the help of the factorizing $F$-matrix, the scalar products of the $U_q(gl(1|1))$ free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.

Joel Feldman, Horst Knörrer, Eugene Trubowitz B

Heinz J. Schulz

Shao-you Zhao A, Wen‐Li Yang, Yao-Zhong Zhang

With the help of the factorizing F-matrix, the scalar products of the Uq(gl(1∣1)) free fermion model are represented by determinants. By means of these results, we obtain the determinant representations of correlation functions of the model.

Fedor Aleksandrovich Smirnov

In this lectures I consider the problem of calculating the correlation functions for XXZ spin chain. First, I explain in details the free fermion case. Then I show that for generic coupling constant the fermionic operators acting on the space of quasi-local fields can be introduced. In the basis generated by these fermionic operators the correlation functions are given by determinants as in the free fermion case.