On the correlation functions of the domain wall six-vertex model
Abstract
We propose an (essentially combinatorial) approach to the correlation functions of the domain wall six-vertex model.
We reproduce the boundary 1-point function determinant expression of Bogoliubov, Pronko and Zvonarev, then use that as a building block to obtain analogous expressions for boundary 2-point functions. The latter can be used, at least in principle, to express more general boundary (and bulk) correlation functions as sums over (products of) determinants.- Publication:
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Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- November 2004
- DOI:
- 10.1088/1742-5468/2004/11/P11001
- arXiv:
- arXiv:math-ph/0409067
- Bibcode:
- 2004JSMTE..11..001F
- Keywords:
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- solvable lattice models;
- Mathematical Physics;
- High Energy Physics - Theory;
- Mathematics - Combinatorics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- LaTeX2e, requires eepic, 25 pages, including 29 figures