Kinklike structures in models of the DiracBornInfeld type
Abstract
The present work investigates several models of a single real scalar field, engendering kinetic term of the DiracBorn Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a firstorder framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the DiracBornInfeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.
 Publication:

Annals of Physics
 Pub Date:
 January 2018
 DOI:
 10.1016/j.aop.2017.11.031
 arXiv:
 arXiv:1708.08512
 Bibcode:
 2018AnPhy.388..408B
 Keywords:

 Localized structures;
 Kinks;
 DiracBornInfeld dynamics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 16 pages, 8 figures