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December 2011 Riemann–Hilbert approach to the time-dependent generalized sine kernel
Karol Kajetan Kozlowski
Adv. Theor. Math. Phys. 15(6): 1655-1743 (December 2011).


We derive the leading asymptotic behavior and build a new series representation for the Fredholm determinant of integrable integral operators appearing in the representation of the time and distance-dependent correlation functions of integrable models described by a six-vertex $R$-matrix. This series representation opens a systematic way for the computation of the long-time, long-distance asymptotic expansion for the correlation functions of the aforementioned integrable models away from their free fermion point. Our method builds on a Riemann–Hilbert based analysis.


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Karol Kajetan Kozlowski. "Riemann–Hilbert approach to the time-dependent generalized sine kernel." Adv. Theor. Math. Phys. 15 (6) 1655 - 1743, December 2011.


Published: December 2011
First available in Project Euclid: 12 December 2012

zbMATH: 1271.82015
MathSciNet: MR2989811

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 6 • December 2011
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