Differential equation for a correlation function of the spin-1/2 Heisenberg chain
- authored by
- Holger Frahm, Alexander R. Its, Vladimir E. Korepin
- 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.
- Organisation(s)
-
Institute of Theoretical Physics
- External Organisation(s)
-
Indiana University-Purdue
Stony Brook University (SBU)
- Type
- Article
- Journal
- Nuclear Physics, Section B
- Volume
- 428
- Pages
- 694-710
- No. of pages
- 17
- ISSN
- 0550-3213
- Publication date
- 17.10.1994
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://arxiv.org/abs/cond-mat/9404091 (Access:
Open)
https://doi.org/10.1016/0550-3213(94)90370-0 (Access: Unknown)
