Aspectos gerais do confinamento de campos em mundos brana não fatorizáveis de seis dimensões com enfoque na localização de férmions de Dirac, Rarita-Schwinger e Elko

Abstract

The theories of extra dimensions has application in various branches of Physics of high energy, explaining the particle physics hierarchy problem, the dark matter and dark energy problems, and in the new particles description, as well. The aim of the thesis is expose general aspects of fields localization in six dimensional (6D) nonfatorizable (warped) braneworlds . The main point of this work consists in the fermion fields confinement. We begin presenting thick and regular 6D models, developed by UFC Field Theory group, and compare these models with other thin or non-regular models of literature. Morover, we compare the differences that occur between warped braneworlds in 5D and in 6D. The confinament of bosonic fields (scalar, gravity and vectorial gauge) in 6D are included. We note that the gravity zero mode reproduces the Newton’s law in our world 4D. For the thesis central theme, the fermions fields confinement, the results of my PhD published papers will be detailed. We demonstrate that a minimum coupling with a gauge fields is required to confine both the Dirac spinor as for the Rarita-Schwinger spinor in 6D. In this context, some different gauge choices for this coupling in different 6D models are present. Following, we will introduce the Elko spinor. This spinor has canonical mass dimension one, being the dual helicity eigenspinors of the charge conjugation operator and a Dark matter natural candidate. The Elko spinor need an exotic coupling for his confinement in 6D. Furthermore, we apply the concept of Entropy Configurational with purpose of delimit and correlate some 6D model parameters. The corrections of Coulomb’s law for 6D warped models will be also qualitativelly argued.