2010/11/25 by K. K. Kozlowski, Kozlowski, K. K.
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #math-ph #math.CA #math.FA #math.MP
paper · pdf · doi:10.48550/arxiv.1011.5897
60 pages, 15 figures, V2: minor modifications in the introduction, V3: a few missprints corrected
arxiv created 2015/04/29 · arxiv updated 2015/04/30
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.