Details
| Original language | English |
|---|---|
| Pages (from-to) | 694-710 |
| Number of pages | 17 |
| Journal | Nuclear Physics, Section B |
| Volume | 428 |
| Issue number | 3 |
| Publication status | Published - 17 Oct 1994 |
Abstract
We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics, Section B, Vol. 428, No. 3, 17.10.1994, p. 694-710.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Differential equation for a correlation function of the spin-1/2 Heisenberg chain
AU - Frahm, Holger
AU - Its, Alexander R.
AU - Korepin, Vladimir E.
N1 - Funding information: H.F. gratefully acknowledges the hospitality at the Institute for Theoretical Physics in Stony Brook, where much of this work was performed. This work was partially supported by the Deutsche Forschungsgemeinschaft under Grant No. Fr 737/2—1 and by the National Science Foundation (NSF) under Grant No. DMS-93 15964.
PY - 1994/10/17
Y1 - 1994/10/17
N2 - We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.
AB - We consider the probability to find a string of x adjacent parallel spins in the antiferromagnetic ground state of the model (in a magnetic field). We derive a system of integro-difference equations which define this probability. This system is completely integrable, it has Lax representation and a corresponding Riemann-Hilbert problem. The quantum correlation function is a τ-function of this system.
U2 - 10.1016/0550-3213(94)90370-0
DO - 10.1016/0550-3213(94)90370-0
M3 - Article
AN - SCOPUS:0008069975
VL - 428
SP - 694
EP - 710
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
IS - 3
ER -