  In this thesis we discuss how the brane world scenario can be realized
dynamically within the field theoretical framework using topological solitons.
As a playground we consider a bosonic sector of a (4+1)-dimensional
supersymmetric gauge theory, which naturally supports soliton of co-dimension
one, a domain wall. We first discuss separate localization of matter fields and
gauge fields on the world-volume of the domain wall and then we present two
explicit five-dimensional models, where both matter fields and gauge fields are
localized together with minimal interactions. We show that matter fields
localize in the adjoint representation of the non-Abelian gauge group and we
calculate the effective interaction Lagrangian of these matter fields up to the
second order in derivatives. We discuss similarities of our models with
effective models describing pions in QCD and with D-branes from string theory.
