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, General Physics and Astronomy

Electronic version(s)

https://doi.org/10.1088/0305-4470/30/1/016 (Access: Unknown)