Determinant representation of correlation functions for the Uq(gl(1∣1)) free Fermion model

DOI10.1063/1.2161019zbMath1111.82016arXivhep-th/0506070OpenAlexW3123488261MaRDI QIDQ3438748

Wen-Li Yang, Shao-You Zhao, Yao-Zhong Zhang

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0506070

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Scalar products of the elliptic Felderhof model and elliptic Cauchy formula, ON THE CONSTRUCTION OF CORRELATION FUNCTIONS FOR THE INTEGRABLE SUPERSYMMETRIC FERMION MODELS, Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis, Determinant representations of correlation functions for the supersymmetric \(t\)-\(J\) model, Izergin-Korepin analysis on the projected wavefunctions of the generalized free-fermion model, Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions

Cites Work

• Correlation functions of the \(XXZ\) spin-\(1/2\) Heisenberg chain at the free fermion point from their multiple integral representations
• Calculation of norms of Bethe wave functions
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Two soluble models of an antiferromagnetic chain
• Solution of the quantum inverse problem