3 papers
math-ph2026
Asymptotic analysis of a Fredholm determinant occurring in the description of the dynamical correlation functions of the Lieb--Liniger Bose gas
Frank Göhmann, Karol K. Kozlowski, Mikhail D. Minin
We perform a large- asymptotic analysis of the Fredholm determinant of an integrable integral operator with generalized sine kernel, where controls the strength of the oscil…
cond-mat.stat-mech2023
Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains
Frank Göhmann, Karol K. Kozlowski, Mikhail D. Minin
Evaluating a lattice path integral in terms of spectral data and matrix elements pertaining to a suitably defined quantum transfer matrix, we derive form-factor series expansions f…
math-ph2023
Construction of determinants for the six-vertex model with domain wall boundary conditions
Mikhail D. Minin, Andrei G. Pronko, Vitaly O. Tarasov
We consider the problem of construction of determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions. In pioneering works of Kore…