Deformed Defects

Abstract

We introduce a method to obtain deformed defects starting from a given scalar field theory which possesses defect solutions. The procedure allows the construction of infinitely many new theories that support defect solutions, analytically expressed in terms of the defects of the original theory. The method is general, valid for both topological and non-topological defects, and we show how it extends to quantum mechanics, and how it works when the scalar field couples to fermions. We illustrate the general procedure with several examples, which support kink-like or lump-like defects.

RevTex4, 5 pages, 2 eps figures; version to be published in Phys. Rev. D, Rapid Commun

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Cited by in corpus (88)

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• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
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• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Thick Brane Split Caused by Spacetime Torsion
• Scattering of the double sine-Gordon kinks
• Deformed defects with applications to braneworlds
• Defect Structures in Lorentz and CPT Violating Scenarios
• New results for deformed defects
• Deformed defects for scalar fields with polynomial interactions
• Some aspects of self-duality and generalised BPS theories
• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
• Fermion localization on a split brane
• Modulation of breathers in cigar-shaped Bose-Einstein condensates
• Geometrically Constrained Kinklike Configurations
• Twinlike Models in Scalar Field Theories
• Highly interactive kink solutions
• Analytical study of kinklike structures with polynomial tails
• Classical behavior of deformed sine-Gordon models
• Scalar fields and defect structures: perturbative procedure for generalized models
• Kinklike structures in models of the Dirac-Born-Infeld type
• Explicit kinks in higher-order field theories
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models II: The Deformed Case
• Antisymmetric Tensor Fields in Randall Sundrum Thick Branes
• Non-polynomial potentials with deformable topological structures
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Study of models of the sine-Gordon type in flat and curved spacetime
• New family of sine-Gordon models
• Kink scattering in hyperbolic models
• Orbit-based deformation procedure for two-field models
• Deformations of Kink Tails
• Lump-like Structures in Scalar-field Models
• Dual Spaces of Resonance In Thick $p-$Branes
• Kinklike structures in scalar field theories: from one-field to two-field models
• Kinks in higher-order polynomial models
• Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
• New scalar field models and their defect solutions
• New Results on Compact Structures
• Two scalar field cosmology from coupled one-field models
• Graviton resonances on deformed branes
• How to build a compact brane
• Compact Structures in Standard Field Theory
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• Defect structures in sine-Gordon-like models
• Matter localization on brane-worlds generated by deformed defects
• Construction of topological defect networks with complex scalar fields
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Kinks and branes in models with hyperbolic interactions
• Vacuumless kinks systems from vacuum ones, an example
• Deformed self-dual magnetic monopoles
• Analytical BPS Maxwell-Higgs vortices
• From Supersymmetric Quantum Mechanics to Scalar Field Theories
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• Spinors Fields in Co-dimension One Braneworlds
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• Generalized sine-Gordon solitons
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• Building analytical three-field cosmological models
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• Phase-space quantum profile of Pöschl-Teller two-level systems
• Small deformations of kinks and walls
• Novel connection between lump-like structures and quantum mechanics
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• Emergence of oscillons in kink-impurity interactions
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
• A novel connection between scalar field theories and quantum mechanics
• Topological origin of quantum mechanical vacuum transitions and tunneling
• A simple and direct method for generating travelling wave solutions for nonlinear equations
• Scalar fields, localized structures and the Starobinsky model
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• Extended multi-scalar field theories in (1+1) dimensions
• Novel thick brane solutions with $U(1)$ symmetry breaking
• The orbit method solution for the deformed three coupled scalar fields
• Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models
• New family of potentials with analytical twiston-like solutions
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Getting inflationary models using the deformation method
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Topological and non-topological kink families in non-linear $({\mathbb{S}}^1\times {\mathbb{S}}^1)$-Sigma models
• Kinks scattering in deformed ${\phi }^6$ model
• On dark sector scalar field theories driven by cosmological $c$-fields