Riemann-Hilbert approach to the time-dependent generalized sine kernel
Advances in Theoretical and Mathematical Physics2011Vol. 15(6), pp. 1655–1743
Citations Over TimeTop 13% of 2011 papers
Abstract
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.
Related Papers
- → Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems(2010)6 cited
- → Why Sine Membership Functions(2022)1 cited
- UNCERTAINTY OF FROM SINE POLYLINE SEE INFORMATION REGROUPING(2008)
- On Calculation Formula of Sine Function and Cosine Function(2008)
- → q-Sine Circular Extreme Learning Machine for High Dimensional Data(2018)