Comportamento assintótico de soluções topológicas e compactificação de branas espessas

Abstract

In this work we discuss topological solutions for classical field theories and the construction of thick braneworlds. We discuss main characteristics and the techniques of obtaining them, from the BPS formalism to the Deformation Method. We look closely at the asymptotic behavior of the solutions found, where we present new analytical solutions presenting properties different from those in the literature so far. On the three new analytical models presented, two of them have relevant differences in their asymptotic limits related to the presence or absence of zero curvature at minima of the scalar potentials involved. The third model is the basis for the construction of the thick braneworld we develop. On the thick branes, we also discuss their main properties and the conditions for gravity localization, besides presenting a mechanism for thick brane compactification whose behavior is governed by a parameter of the scalar potential present in the system action.