Determinant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion Model

TL;DR

This paper derives determinant formulas for correlation functions in the $U_q(gl(1|1))$ free fermion model using the factorizing $F$-matrix, simplifying the computation of these functions.

Contribution

It introduces a novel determinant representation of correlation functions for the $U_q(gl(1|1))$ free fermion model leveraging the factorizing $F$-matrix.

Findings

Scalar products are expressed as determinants.

Correlation functions are represented by determinants.

Simplifies calculations of correlation functions.

Abstract

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.