Details
| Original language | English |
|---|---|
| Pages (from-to) | 219-244 |
| Number of pages | 26 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 30 |
| Issue number | 1 |
| Publication status | Published - 7 Jan 1997 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics A: Mathematical and General, Vol. 30, No. 1, 07.01.1997, p. 219-244.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Determinant representation for a quantum correlation function of the lattice sine-Gordon model
AU - Eßler, Fabian H.L.
AU - Frahm, Holger
AU - Its, Alexander R.
AU - Korepin, Vladimir E.
PY - 1997/1/7
Y1 - 1997/1/7
N2 - 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.
AB - 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.
U2 - 10.1088/0305-4470/30/1/016
DO - 10.1088/0305-4470/30/1/016
M3 - Article
AN - SCOPUS:0031556895
VL - 30
SP - 219
EP - 244
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
SN - 0305-4470
IS - 1
ER -