Fluxo do grupo de renormalização dos modelos-'alfa' e as álgebras de Lie contínuas
| Ano de defesa: | 2008 |
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| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
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| Programa de Pós-Graduação: |
Não Informado pela instituição
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| Departamento: |
Não Informado pela instituição
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| País: |
Não Informado pela instituição
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| Palavras-chave em Português: | |
| Link de acesso: | http://hdl.handle.net/11449/138379 http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/12-04-2016/000854764.pdf |
Resumo: | This work is basically a review of some aspect of the integrability in two dimensions discussed in the Prof. Ioannis Bakas's paper called Renormalization group flows and continual Lie algebras. The main idea is to study the renormalization group flow of two-dimensional metrics in sigma models using the one-loop beta function, and demonstrate that they provide a continual analogue of the Toda field equations in conformally flat coordinates in the target space. In this algebraic frame, the logarithm of the world-sheet length scale t is interpreted as Dynkin parameter on the root system of a continual Lie algebra, denoted by G(d/dt;II),witha an ti-symmetric generalized Cartan kernel K(t,t') ='sigmma'(t−t'). Using the zero curvature formalism, we construct a general solution of the renormalization group flow in terms of the free field configurations via B¨acklund transformations. The validity of these general solutions as a power series expansion is verified in some specials examples including the sausage model, the constant negative curvature metrics and the decay of conical singularities |