Geometria não-comutativa e o modelo de Connes-Lott

AUTOR(ES)

Rafael de Freitas Leão

DATA DE PUBLICAÇÃO

2003

RESUMO

In this dissertation we studied how to generalize in an algebraic way some of the concepts of classical differential geometry (like the concepts of manifolds and vector bundles). Moreover, we developed the integral and differential calculus over these algebraic structures. These concepts are the basis of the noncom mutative geometry, which enabled us to study from a geometrical point of view some spaces (like the two point space) that are excluded from usual treatments. In particular we used the geometry of the two point space with the usual space-time geometry in order to formulate a geometrical version of the standard model of elementary particles (in particular the Weinberg-Salam model). One of the great advantages of this geometric formulation is that the Higgs boson appears in a natural way as part of a conection in this more general space

ASSUNTO(S)

fisica matematica teoria de campos (fisica) geometria

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