Formalismo Hamiltoniano do modelo de Jackiw-Teitelboim no calibre temporal

• Ano de defesa: 2007
• Autor(a) principal: Bautista, Luis Ivan Morales
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Espírito Santo; BR; Mestrado em Física; Centro de Ciências Exatas; UFES; Programa de Pós-Graduação em Física
• Palavras-chave em Português: Gravidade quântica; Gravitação; Sistemas hamiltonianos; Física; 53
• Link de acesso: http://repositorio.ufes.br/handle/10/4769

In view of the difficulties which appear in the theory of General Relativity in the real world, studies of simpler models then allow us to understand its features. If, on one side, the gravitation in two dimensions does not describe the real world, it allows us to simplify the difficulties encountered in 4-dimensional spacetime. We will study the 2-dimensional gravitation, basing us on the model of Jackiw-Teitelboim, which is formulated as a topological theory of BF type. Due to difficulties found with the Poincare group ISO(1,1), we will introduce the (anti)-de Sitter group (A)dS, SO(2,1). We will do a parcial gauge fixing analogous to the one done in 4-dimensions in the formalism of Loop Quantization. We will study the gauge invariant quantities, namely the Dirac observables of this theory, and we will finish giving a brief introduction to the transition to the quantum theory