From sine-Gordon to vacuumless systems in flat and curved spacetimes

Abstract

In this work we start from the Higgs prototype model to introduce a new model, which makes a smooth transition between systems with well located minima and systems that support no minima at all. We implement this possibility using the deformation procedure, which allows the obtention of a sine-Gordon-like model, controlled by a real parameter that gives rise to a family of models, reproducing the sine-Gordon and the so-called vacuumless models. We also study the thick brane scenarios associated with these models and investigate their stability and renormalization group flow. In particular, one shows how gravity can change from the 5-dimensional warped geometry with a single extra dimension of infinite extent to the conventional 5-dimensional Minkowski geometry.

11 pages, 12 figures. Version to appear in EPJC

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• Configurational entropy of anti-de Sitter black holes
• First-order framework and domain-wall/brane-cosmology correspondence
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Cited by in corpus (9)

• Analytical study of kinklike structures with polynomial tails
• Quasinormal modes in kink excitations and kink-antikink interactions: a toy model
• Fermion bound states in geometrically deformed backgrounds
• First order formalism for thick branes in modified gravity with Lagrange multiplier
• Configurational entropy of generalized sine-Gordon-type models
• Braneworlds in bumblebee gravity
• BPS states for scalar field theories based on ${\mathfrak{g}}_2$ and $\mathfrak{su}(4)$ algebras
• Vortices in vacuumless systems
• Casimir energy through transfer operators for sine-Gordon backgrounds