Degenerate and critical Bloch branes

TL;DR

This paper demonstrates a method to control the thickness of Bloch branes through a degeneracy parameter, revealing new solutions called critical Bloch branes without altering the potential parameters.

Contribution

It introduces a novel way to adjust brane thickness via degeneracy parameters and uncovers new critical solutions in the context of scalar field coupled gravity models.

Findings

Brane thickness can be controlled without changing potential parameters.

Existence of critical Bloch branes at specific degeneracy parameter values.

Discovery of new solutions with distinct internal structures.

Abstract

In the last few years a number of works reported the appearance of thick branes with internal structure, induced by the parameter which controls the interaction between two scalar fields coupled to gravity in (4,1) dimensions in warped space-time with one extra dimension. Here we show that one can implement the control over the brane thickness without needing to change the potential parameter. On the contrary, this is going to be done by means of the variation of a parameter associated to the domain wall degeneracy. We also report the existence of novel and qualitatively different solutions for a critical value of the degeneracy parameter, which could be called critical Bloch branes.