2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100751With 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.Latex File, 20 pages, V.3: some discussions are added, V.4 Reference update, this version will appear in J. Math. PhysHigh Energy Physics - TheoryStatistical MechanicsStrongly Correlated ElectronsMathematical PhysicsExactly Solvable and Integrable Systemstext