Determinant representation for a quantum correlation function of the lattice sine-Gordon model

authored by: Fabian H.L. Eßler, Holger Frahm, Alexander R. Its, Vladimir E. Korepin
Abstract: We consider a completely integrable lattice regularization of the sine-Gordon model with discrete space and continuous time. We derive a determinant representation for a correlation function which in the continuum limit turns into the correlation function of local fields. The determinant is then embedded into a system of integrable integro-differential equations. The leading asymptotic behaviour of the correlation function is described in terms of the solution of a Riemann-Hilbert Problem (RHP) related to the system of integro-differential equations. The leading term in the asymptotical decomposition of the solution of the RHP is obtained.
Organisation(s): Institute of Theoretical Physics
External Organisation(s): University of Oxford
Indiana University-Purdue
Stony Brook University (SBU)
Kyoto University
Type: Article
Journal: Journal of Physics A: Mathematical and General
Volume: 30
Pages: 219-244
No. of pages: 26
ISSN: 0305-4470
Publication date: 07.01.1997
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Statistical and Nonlinear Physics, Mathematical Physics, Physics and Astronomy(all)
Electronic version(s): https://doi.org/10.1088/0305-4470/30/1/016 (Access: Unknown)