تقرير
Algebraic arctic curves in the domain-wall six-vertex model
| العنوان: | Algebraic arctic curves in the domain-wall six-vertex model |
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| المؤلفون: | Colomo, F., Noferini, V., Pronko, A. G. |
| المصدر: | J. Phys. A: Math. Theor. 44 (2011) 195201 |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Statistical Mechanics, Mathematics - Combinatorics |
| الوصف: | The arctic curve, i.e. the spatial curve separating ordered (or `frozen') and disordered (or `temperate) regions, of the six-vertex model with domain wall boundary conditions is discussed for the root-of-unity vertex weights. In these cases the curve is described by algebraic equations which can be worked out explicitly from the parametric solution for this curve. Some interesting examples are discussed in detail. The upper bound on the maximal degree of the equation in a generic root-of-unity case is obtained. Comment: 15 pages, no figures; v2: metadata corrected |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8113/44/19/195201 |
| URL الوصول: | http://arxiv.org/abs/1012.2555 |
| رقم الأكسشن: | edsarx.1012.2555 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8113/44/19/195201 |
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