A kernel deformation makes finite-temperature sine kernel Fredholm determinants solvable through an explicit Riemann-Hilbert problem, giving exact large-distance asymptotics and reproducing Szego, Hartwig-Fisher, and Borodin-Okounkov formulas.
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On finite-temperature Fredholm determinants
A kernel deformation makes finite-temperature sine kernel Fredholm determinants solvable through an explicit Riemann-Hilbert problem, giving exact large-distance asymptotics and reproducing Szego, Hartwig-Fisher, and Borodin-Okounkov formulas.