| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000398863 |
| ISSN: | 0103-9733 |
| Authors: | Lazo, Matheus Jatkoske1 |
| Institutions: | 1Universidade Federal de Santa Maria, Centro Tecnologico de Alegrete, Alegrete, Rio Grande do Sul. Brasil |
| Year: | 2008 |
| Season: | Jun |
| Volumen: | 38 |
| Number: | 2 |
| Pages: | 237-244 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We obtain through a Matrix Product Ansatz (MPA) the exact solution of the most general N-state spin chain with U(1) N symmetry and nearest neighbour interaction. In the case N = 6 this model contain as a special case the integrable SO(6) spin chain related to the one loop mixing matrix for anomalous dimensions in N = 4 SYM, dual to type IIB string theory in the generalised Lunin-Maldacena backgrounds. This MPA is construct by a map between scalar fields and abstract operators that satisfy an appropriate associative algebra. We analyses the Yang-Baxter equation in the N = 3 sector and the consistence of the algebraic relations among the matrices defining the MPA and find a new class of exactly integrable model unknown up to now |
| Disciplines: | Física y astronomía |
| Keyword: | Física de partículas y campos cuánticos, Termodinámica y física estadística, Mecánica cuántica, Física estadística, Espín, Correspondencia AdS/CFT |
| Keyword: | Physics and astronomy, Particle physics and quantum fields, Thermodynamics and statistical physics, Quantum mechanics, Statistical physics, Spin, AdS/CFT correspondence |
| Full text: | Texto completo (Ver PDF) |
