Deformed defects for scalar fields with polynomial interactions

Abstract

In this paper we use the deformation procedure introduced in former work on deformed defects to investigate several new models for real scalar field. We introduce an interesting deformation function, from which we obtain two distinct families of models, labeled by the parameters that identify the deformation function. We investigate these models, which identify a broad class of polynomial interactions. We find exact solutions describing global defects, and we study the corresponding stability very carefully.

8 pages, 5 eps figures, to appear in PRD

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• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
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• Fermion localization on a split brane
• Highly interactive kink solutions
• Classical behavior of deformed sine-Gordon models
• Kinklike structures in models of the Dirac-Born-Infeld type
• Neutral Bound States in Kink-like Theories
• Explicit kinks in higher-order field theories
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• New family of sine-Gordon models
• Orbit-based deformation procedure for two-field models
• Deformations of Kink Tails
• Kinks in higher-order polynomial models
• New scalar field models and their defect solutions
• New Results on Compact Structures
• One-loop kink mass shifts: a computational approach
• Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
• Construction of topological defect networks with complex scalar fields
• Kinks and branes in models with hyperbolic interactions
• Deformed self-dual magnetic monopoles
• Scattering of kinks in the $B{\phi }^4$ model
• Multikink solutions and deformed defects
• Construction of new scalar field models from the standard ${\varphi }^4$ theory
• Higher-order field theories: ${\varphi }^6$, ${\varphi }^8$ and beyond
• Generalized sine-Gordon solitons
• New models for asymmetric kinks and branes
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
• From Scalar Field Theories to Supersymmetric Quantum Mechanics
• Emergence of oscillons in kink-impurity interactions
• Novel results for kinklike structures and their connections to quantum mechanics
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• A novel connection between scalar field theories and quantum mechanics
• A simple and direct method for generating travelling wave solutions for nonlinear equations
• Getting inflationary models using the deformation method
• Vacuum Polarization Energy of the Kinks in the Sinh-Deformed Models
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Kink dynamics in a high-order field model
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• Bifurcation and chaos in one dimensional chains of small particles
• 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
• New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity