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

References in corpus (2)

• First-order formalism for bent brane
• Webs of Walls

Cited by in corpus (28)

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• Kinks in higher-order polynomial models
• New scalar field models and their defect solutions
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• Construction of topological defect networks with complex scalar fields
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• Getting inflationary models using the deformation method
• 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
• Kink dynamics in a high-order field model
• New brane-like solutions in modified four-dimensional Einstein-Gauss-Bonnet gravity
• Kinks scattering in deformed ${\phi }^6$ model