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

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.

arXiv commentLatex File, 20 pages, V.3: some discussions are added, V.4 Reference update, this version will appear in J. Math. Phys

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• Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model
• Elliptic supersymmetric integrable model and multivariable elliptic functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula