On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrodinger equation: Interacting fermion case

Authors
Its, AR Slavnov, NA
Citation
Ar. Its et Na. Slavnov, On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrodinger equation: Interacting fermion case, THEOR MATH, 119(2), 1999, pp. 541-593
Citations number
53
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
119
Issue
2
Year of publication
1999
Pages
541 - 593
Database
ISI
SICI code
0040-5779(199905)119:2<541:OTRATA>2.0.ZU;2-F
Abstract
We consider the local field dynamic temperature correlation function of the quantum nonlinear Schrodinger equation with a finite coupling constant. Th is correlation function admits a Fredholm determinant representation. The r elated operator-valued Riemann-Hilbert problem is used to analyze the leadi ng term of the large time and distance asymptotic expansion of the correlat ion function.