| Revue: | Brazilian journal of physics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000398322 |
| ISSN: | 0103-9733 |
| Autores: | Malard, Mariana1 |
| Instituciones: | 1Universidade de Brasilia, Faculdade UnB Planaltina, Planaltina, Distrito Federal. Brasil |
| Año: | 2013 |
| Periodo: | Jun |
| Volumen: | 43 |
| Número: | 3 |
| Paginación: | 182-198 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | The sine-Gordon model is discussed and analyzed within the framework of the renormalization group theory. A perturbative renormalization group procedure is described, in which the sine-Gordon field is decomposed into slow and fast modes. An effective theory for the slow modes is derived and rescaled to yield the flow equations for the model. The resulting Kosterlitz–Thouless phase diagram is obtained and discussed in detail. The gap in this theory is estimated in terms of the sine-Gordon model parameters. The mapping between the sine-Gordon model and one-dimensional interacting-electron models, such as the gology and Hubbard models, is discussed. On the basis of the results borrowed from previous renormalization-group results for the sine-Gordon model, different aspects of Luttinger liquid systems are described, such as the nature of the excitations and phase transitions. The calculations are thoroughly and pedagogically described, to even reach the reader with no previous experience with the sine-Gordon model or the renormalization group approach |
| Disciplinas: | Física y astronomía, Matemáticas |
| Palabras clave: | Física de materia condensada, Matemáticas aplicadas, Grupo de renormalización, Modelo seno-Gordon, Teoría cuántica de campos, Ecuaciones diferenciales |
| Keyword: | Physics and astronomy, Mathematics, Condensed matter physics, Applied mathematics, Renormalization group, Sine-Gordon model, Quantum field theory, Differential equations |
| Texte intégral: | Texto completo (Ver PDF) |
