Twinlike Models in Scalar Field Theories

Abstract

This work deals with the presence of defect structures in models described by real scalar field in a diversity of scenarios. The defect structures which we consider are static solutions of the equations of motion which depend on a single spatial dimension. We search for different models, which support the same defect solution, with the very same energy density. We work in flat spacetime, where we introduce and investigate a new class of models. We also work in curved spacetime, within the braneworld context, with a single extra dimension of infinite extent, and there we show how the brane is formed from the static field configuration.

10 pages, 6 figures

References in corpus (12)

• Global topological k-defects
• Generalized Global Defect Solutions
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• Braneworld Models of Scalar Fields with Generalized Dynamics
• Magnetic domain walls in constrained geometries
• k-defects as compactons
• Doppelganger defects
• K fields, compactons, and thick branes
• Kinks in a non-linear massive sigma model
• Creating kinks from particles
• k-stabilization in brane models
• Construction of topological defect networks with complex scalar fields

Cited by in corpus (38)

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• Twinlike models for kinks and compactons in flat and warped spacetime
• BPS solitons in a Dirac-Born-Infeld action
• New results on twinlike models
• Study of models of the sine-Gordon type in flat and curved spacetime
• Cuscuton kinks and branes
• First-order formalism for twinlike models with several real scalar fields
• Twinlike Models for Self-Dual Maxwell-Higgs Theories
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Kink-antikink collisions for twin models
• New Results on Compact Structures
• Non-perturbative procedure for stable $K$-brane
• On the presence of twinlike models in cosmology
• $K$-field kinks: stability, exact solutions and new features
• Twinlike Models for Kinks, Vortices and Monopoles
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Kinks in higher derivative scalar field theory
• BPS bounds in supersymmetric extensions of K field theories
• Deformed self-dual magnetic monopoles
• Effective metric in nonlinear scalar field theories
• Analytical BPS Maxwell-Higgs vortices
• Generalized Born-Infeld-like models for kinks and branes
• Singular Pöschl-Teller II potentials and gravitating kinks
• Nontopological self-dual Maxwell-Higgs vortices
• Inflationary Twin Models
• Cosmological twinlike models with multi scalar fields
• Matching the linear spectra of twinlike defects
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• Twinlike models for parametrized dark energy
• New twinlike models for scalar fields
• Galilean symmetry in generalized abelian Schrödinger-Higgs models with and without gauge field interaction
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry
• Domain walls without a potential