On the Riemann-Hilbert approach to the asymptotic analysis of the
correlation functions of the Quantum Nonlinear Schrodinger equation. Non-free
fermionic case
We consider the local field dynamical temperature correlation function of the
Quantum Nonlinear Schrodinger equation with the finite coupling constant. This
correlation function admits a Fredholm determinant representation. The related
operator-valued Riemann--Hilbert problem is used for analysing the leading term
of the large time and long distance asymptotics of the correlation function.
Publié le : 1998-11-13
Classification:
Mathematical Physics,
High Energy Physics - Theory,
Nonlinear Sciences - Exactly Solvable and Integrable Systems
@article{9811009,
author = {Its, A. R. and Slavnov, N. A.},
title = {On the Riemann-Hilbert approach to the asymptotic analysis of the
correlation functions of the Quantum Nonlinear Schrodinger equation. Non-free
fermionic case},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9811009}
}
Its, A. R.; Slavnov, N. A. On the Riemann-Hilbert approach to the asymptotic analysis of the
correlation functions of the Quantum Nonlinear Schrodinger equation. Non-free
fermionic case. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811009/