Kinklike structures in models of the Dirac-Born-Infeld type
arXiv:1708.08512 · doi:10.1016/j.aop.2017.11.031
Abstract
The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-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 first-order 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 Dirac-Born-Infeld 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.
16 pages, 8 figures; version to appear in Annals of Physics
References in corpus (29)
- Dynamics of dark energy
- Topological Defects and Gapless Modes in Insulators and Superconductors
- Global topological k-defects
- Generalized Global Defect Solutions
- Braneworld Models of Scalar Fields with Generalized Dynamics
- First-order formalism for bent brane
- k-defects as compactons
- Gauge k-vortices
- Scalar fields, bent branes, and RG flow
- Symmetry breaking, slow relaxation dynamics, and topological defects at the field-induced helix reorientation in MnSi
- Doppelganger defects
- K fields, compactons, and thick branes
- Compactlike kinks and vortices in generalized models
- Deformed defects for scalar fields with polynomial interactions
- From Kinks to Compactons
- Thick brane models in generalized theories of gravity
- Creating kinks from particles
- A Wrinkle in Coleman - De Luccia
- DBI Global Strings
- Motion of domain walls and the dynamics of kinks in the magnetic Peierls potential
- k-stabilization in brane models
- New family of sine-Gordon models
- -field kinks: stability, exact solutions and new features
- How to build a compact brane
- Cosmic strings and other topological defects in nonscaling regimes
- Hybrid Bloch Brane
- First order transition induced by topological defects in the O(3) principal chiral model
- First-order framework for flat brane with auxiliary fields
- Brane structure from a scalar field in general covariant Horava-Lifshitz gravity