Study of models of the sine-Gordon type in flat and curved spacetime

Abstract

We study a new family of models of the sine-Gordon type, starting from the sine-Gordon model, including the double sine-Gordon, the triple one, and so on. The models appears as deformations of the starting model, with the deformation controlled by two parameters, one very small, used to control a linear expansion on it, and the other, which specifies the particular model in the family of models. We investigate the presence of topological defects, showing how the solutions can be constructed explicitly from the topological defects of the sine-Gordon model itself. In particular, we delve into the double sine-Gordon model in a braneworld scenario with a single extra dimension of infinite extent, showing that a stable gravity scenario is admissible. Also, we briefly show that the deformation procedure can be used iteratively, leading to a diversity of possibilities to construct families of models of the sine-Gordon type.

8 pages, 7 figures; Title changed, author and new results included; version to appear in EPJC

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• Scalar fields and defect structures: perturbative procedure for generalized models
• Explicit kinks in higher-order field theories
• Study of models of the sine-Gordon type in flat and curved spacetime
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Nuclear configurational entropy of the energy-energy correlation in $e^{+}{e}^{-}$ annihilation processes
• New Results on Compact Structures
• Spherically Symmetric Thick Branes Cosmological Evolution
• Matter localization on brane-worlds generated by deformed defects
• Kinks and branes in models with hyperbolic interactions
• Gravity localization in sine-Gordon braneworlds
• Multikink solutions and deformed defects
• New models for asymmetric kinks and branes
• Configurational entropy of generalized sine-Gordon-type models
• Perturbatively deformed defects in Pöschl-Teller-driven scenarios for quantum mechanics
• Super long-range kinks
• Topological origin of quantum mechanical vacuum transitions and tunneling
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Hidden Conformal Symmetry of Smooth Braneworld Scenarios