fermions bounded by kinks of false vacuum models

Abstract In this work we address the question of existence of fermion bound-states and zero modes in the background of kinks of models presenting a structure with a false and a true vacuum. These models are important for the description of cosmological and condensed-matter systems. The spectrum of fermion bound-states on the background of kinks of a class of asymmetrical scalar field potentials is analytically obtained and the general validity of the result is argued

Fluctuating solutions for the evolution of domain walls

A class of oscillating Lorentz covariant configurations for the evolution of the domain walls in diverse dimensions are analytically obtained. It is shown that the oscillating solutions in the case of domain walls are responsible for structures which are larger than the usual kink-like configurations and, in the Lorentz covariant evolution case, lead to long-standing configurations.Comment: 14 pages, 7 figure

Configurational entropy as a tool to select a physical thick brane model

We analize braneworld scenarios via a configurational entropy (CE) formalism. Braneworld scenarios have drawn attention mainly due to the fact that they can explain the hierarchy problem and unify the fundamental forces through a symmetry breaking procedure. Those scenarios localize matter in a (3+1) hypersurface, the brane, which is inserted in a higher dimensional space, the bulk. Novel analytical braneworld models, in which the warp factor depends on a free parameter n, were recently released in the literature. In this article we will provide a way to constrain this parameter through the relation between information and dynamics of a system described by the CE. We demonstrate that in some cases the CE is an important tool in order to provide the most probable physical system among all the possibilities. In addition, we show that the highest CE is correlated to a tachyonic sector of the configuration, where the solutions for the corresponding model are dynamically unstable