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Um estudo dos modelos BF de D=1+1 até D=3+1 dimensões via Hamilton-Jacobi / A study of BF models from D=1+1 until D=3+1 dimensions via Hamilton-JacobiGracia, Gabriel Brandão de 24 February 2017 (has links)
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Dissertação Final.pdf: 530405 bytes, checksum: 393276cfee653f2dd2aedc610270b907 (MD5)
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Previous issue date: 2017-02-24 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Ao longo desta dissertação desenvolvemos o formalismo de Hamilton-Jacobi para teorias de campo para o caso de sistemas singulares e não-singulares. Em seguida, aplicamos tal formalismo nos modelos BF em D=1+1, D=2+1 e D=3+1 dimensões a fim de caracterizar os seus espaços de fase. Mostramos que a partir desse formalismo é possível obter as simetrias locais desses modelos assim como os seus respectivos geradores. / Throughout this dissertation we develop the Hamilton-Jacobi formalism for field theories in the case of singular and non-singular systems. Next, apply such formalism on the BF models in D=1+1, D=2+1 e D=3+1 dimensions in order to characterize their phase spaces. We show from this formalism, that is possible to find the local symmetries of those models as well as their respective generators. / CNPq: 132619/2015-6
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