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We study a class of noncanonical real scalar field models in $(1+1)$-dimensional flat space-time. We first derive the general criterion for the classical linear stability of an arbitrary static soliton solution of these models. Then we…

High Energy Physics - Theory · Physics 2014-10-16 Yuan Zhong , Yu-Xiao Liu

This work deals with models described by three real scalar fields in one spatial dimension. We study the case where two of the three fields engender kinematical modifications, which respond as geometrical constrictions, that can be used to…

High Energy Physics - Theory · Physics 2024-04-10 D. Bazeia , G. S. Santiago

In this work we study kinklike structures, which are localized solutions that appear in models described by real scalar fields. The model to be considered is characterized by two real scalar fields and includes a function of one of the two…

High Energy Physics - Theory · Physics 2020-05-07 D. Bazeia , M. A. Liao , M. A. Marques

We investigate a class of models described by two real scalar fields in two-dimensional spacetime. The study focuses mainly on the presence of exact static solutions which satisfy the first-order formalism, in models constructed to engender…

High Energy Physics - Theory · Physics 2026-03-23 G. H. Bandeira , D. Bazeia , G. S. Santiago , Ya. Shnir

This work investigates twinlike scalar field models that support kinks with the same energy density and stability. We find the first order equations compatible with the equations of motion. We use them to calculate the conditions under…

High Energy Physics - Theory · Physics 2020-09-04 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We study static kink configurations in a type of two-dimensional higher derivative scalar field theory whose Lagrangian contains second-order derivative terms of the field. The linear fluctuation around arbitrary static kink solutions is…

High Energy Physics - Theory · Physics 2018-11-14 Yuan Zhong , Rong-Zhen Guo , Chun-E Fu , Yu-Xiao Liu

We investigate the presence of localized solutions in models described by a single real scalar field with generalized dynamics. The study offers a method to solve very intricate nonlinear ordinary differential equations, and we illustrate…

High Energy Physics - Theory · Physics 2014-03-17 D. Bazeia , L. Losano , R. Menezes

This work investigates kink solutions in one-dimensional scalar field theories. We begin with a review of the formalism used to obtain these solutions, presenting the BPS formalism and linear stability analysis. Next, we explore new models…

High Energy Physics - Theory · Physics 2025-05-15 D. Bazeia , A. S. Lobão , Fabiano C. Simas

We investigate the presence of static solutions in models described by real scalar field in two-dimensional spacetime. After taking advantage of a procedure introduced sometime ago, we solve intricate nonlinear ordinary differential…

High Energy Physics - Theory · Physics 2014-09-25 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

We investigate the presence of static solutions in generalized models described by a real scalar field in four-dimensional space-time. We study models in which the scalar field engenders higher-order derivatives and spontaneous symmetry…

High Energy Physics - Theory · Physics 2015-07-06 D. Bazeia , A. S. Lobao , R. Menezes

In this work we introduce a procedure to find localized structures with finite energy. We start dealing with global monopoles, and add a new contribution to the potential of the scalar fields, to balance the contribution of the angular…

High Energy Physics - Theory · Physics 2021-10-11 D. Bazeia , M. A. Marques , M. Paganelly

In this work we investigate the presence of scalar field models supporting kink solutions with logarithmic tails, which we call super long-range structures. We first consider models with a single real scalar field and associate the…

High Energy Physics - Theory · Physics 2025-01-29 I. Andrade , M. A. Marques , R. Menezes

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…

High Energy Physics - Theory · Physics 2011-12-20 D. Bazeia , R. Menezes

In this work we study the presence of kinks in models described by two real scalar fields in bi-dimensional space-time. We generate new two-field models, constructed from distinct but important one-field models, and we solve them with…

High Energy Physics - Theory · Physics 2013-09-10 A. Alonso-Izquierdo , D. Bazeia , L. Losano , J. Mateos Guilarte

This short note is devoted to deriving scaling but hyperscaling violating solutions in a generalised Einstein-Maxwell-Dilaton theory with an arbitrary number of scalars and vectors. We obtain analytic solutions in some special case and…

High Energy Physics - Theory · Physics 2017-02-20 Li Li

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

We study the stability of topological structures in generalized models with a single real scalar field. We show that it is driven by a Sturm-Liouville equation and investigate the conditions that lead to the existence of explicit…

High Energy Physics - Theory · Physics 2019-12-12 I. Andrade , M. A. Marques , R. Menezes

We develop a general procedure to deal with defect structures in generalized models, described by a single real scalar field, in (1,1) spacetime dimensions. The models that we consider have the standard kinetic and potential contributions…

High Energy Physics - Theory · Physics 2013-07-12 C. A. G. Almeida , D. Bazeia , L. Losano , R. Menezes

We study general semilinear scalar-field equations on the real line with variable coefficients in the linear terms. These coefficients are uniformly small, but slowly decaying, perturbations of a constant-coefficient operator. We are…

Analysis of PDEs · Mathematics 2022-08-09 Mashael Alammari , Stanley Snelson

This work deals with the presence of localized static structures in the real line, described by relativistic real scalar fields in two spacetime dimensions. We consider models featuring both standard and modified kinematics, where we employ…

High Energy Physics - Theory · Physics 2024-07-09 D. Bazeia , Elisama E. M. Lima
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