3 research outputs found
New results on twinlike models
In this work we study the presence of kinks in models described by a single
real scalar field in bidimensional spacetime. We work within the first-order
framework, and we show how to write first-order differential equations that
solve the equations of motion. The first-order equations strongly simplify the
study of linear stability, which is implemented on general grounds. They also
lead to a direct investigation of twinlike theories, which is used to introduce
a family of models that support the same defect structure, with the very same
energy density and linear stability.Comment: 6 pages, 1 figur
Deformed defects for scalar fields with polynomial interactions
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.Comment: 8 pages, 5 eps figures, to appear in PR
Multi-sine-Gordon models
This work deals with the presence of defect structures in generalized
sine-Gordon models. The models are described by periodic potentials, with
substructure having one, two, three or more distinct topological sectors, with
multiplicity one, two, three or more, respectively. The investigation takes
advantage of the deformation procedure introduced in previous work, which is
used to introduce the new models, and to study all the defect structures they
may comprise.Comment: 18 pages, 4 figures; to appear in EPJ