Campos tensoriais de matÃria abelianos e nÃo-abelianos: geraÃÃo de massa e dualidade. / Abelian and non-abelian tensor matter fields: Mass generation and duality

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In this Thesis we analyze the generation of mass to the antisymmetric tensor matter field in a non-Abelian model and the mapping of the antisymmetric matter field to the antisymmetric tensor gauge field in the Abelian case. For the mass generation, we use two different mechanisms. The first one is the spontaneous symmetry breaking, where we use scalar fields with nonzero expected vacuum value in the SU(N) representation. Besides the massive term for the matter field, by relaxing the requirement of parity invariance we obtain topological terms. The second mechanism is denominated topological mass generation. It consists by introducing in the action of a vectorial complex field and a massive topological coupling term between ectorial complex and complex selfdual field. Direct calculation of the Feynman propagators show us that the matter field has a massive pole. In dual mapping, we can say that the $U(1)$ invariant action of the matter field is mapped in a dual action described by the antisymmetric tensor gauge field and a topologically conserved current. Two remarkable characteristics can be observed in this mapping: the first one is the parity preservation due to topological terms in the both dual actions; the second characteristic is that, though the conserved current admits topological terms, the mapping is free of axial anomalies. The presence of anomalies prevents the conservation of topological currents in a mapping such as bosonization in 4 dimensions. One of the most important requisites for the renormalizability of a theory in all orders of h is that the theory must be free of anomalies.

ASSUNTO(S)

teoria geral de particulas e campos

ACESSO AO ARTIGO

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