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We investigate kink-antikink collisions in a model characterized by two scalar fields in the presence of geometric constrictions. The model includes an auxiliary function that modifies the kinematics associated with one of the two fields.…

High Energy Physics - Theory · Physics 2023-10-31 João G. F. Campos , Fabiano C. Simas , D. Bazeia

In this thesis, we study interactions between topological defects in two-dimensional spacetimes. These defects are called kinks. They are solutions of scalar field theories with localized energy which propagate without losing its shape. In…

High Energy Physics - Theory · Physics 2022-04-13 João G. F. Campos

In this paper, we introduce a commensurable and non-degenerate double sine-Gordon model, in which a partial breaking of vacuum degeneracy provides a mechanism for the emergence of static multi-kinks. These multi-kinks $K_n$ are stable field…

High Energy Physics - Theory · Physics 2025-12-18 Jonathan Lozano-Mayo , Manuel Torres-Labansat

Within the context of a first-order phase transition in the early Universe, we study the collision process for vacuum bubbles expanding in a plasma. The effects of the plasma are simulated by introducing a damping term in the equations of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Antonio Ferrera , Alejandra Melfo

We have investigated the head-on collision of a two-kink and a two-antikink pair that arises as a generalization of the $\phi^4$ model. We have evolved numerically the Klein-Gordon equation with a new spectral algorithm whose accuracy and…

High Energy Physics - Theory · Physics 2015-10-28 T. S. Mendonça , H. P. de Oliveira

In this work we investigate a $Z_2$ symmetric model of one scalar field $\phi$ in $(1,1)$ dimension. The model is characterized by a continuous transition from a potential $V(\phi)$ with two vacua to the vacuumless case. The model has kink…

High Energy Physics - Theory · Physics 2017-12-06 F. C. Simas , Adalto R. Gomes , K. Z. Nobrega

We derive a closed-form expression for the phase shift experienced by 1+1 dimensional kinks colliding at ultra-relativistic velocities (gamma v >> 1), valid for arbitrary periodic potentials. Our closed-form expression is the leading order…

High Energy Physics - Theory · Physics 2013-12-04 Mustafa A. Amin , Eugene A. Lim , I-Sheng Yang

We study topological kinks and their interactions in a family of scalar field models with a double well potential parametrized by the mass of small perturbations around the vacua, ranging from the mass of the $\phi^4$ Klein-Gordon model all…

High Energy Physics - Theory · Physics 2024-10-24 F. M. Hahne , P. Klimas

Oscillons are spatially localized, time-periodic and long-lived configurations that were primarily proposed in scalar field theories with attractive self-interactions. In this letter, we demonstrate that oscillons also exist in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-22 Hong-Yi Zhang , Mudit Jain , Mustafa A. Amin

In this work we show a class of oscillating configurations for the evolution of the domain walls in Euclidean space. The solutions are obtained analytically. Phase transitions are achieved from the associated fluctuation determinant, by the…

High Energy Physics - Theory · Physics 2015-09-03 R. A. C. Correa , P. H. R. S. Moraes , Roldao da Rocha

Oscillons in a simple, 1-dimensional scalar field theory with a cubic potential are discussed. The theory has a classical sphaleron, whose decay generates a version of the oscillon. A good approximation to the small-amplitude oscillon is…

High Energy Physics - Theory · Physics 2023-04-26 N. S. Manton , T. Romańczukiewicz

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the $\phi^4$ model, and a $\phi^6$-like model with three degenerate vacua. We find a rich variety of behaviours,…

High Energy Physics - Theory · Physics 2021-10-13 Patrick Dorey , Anastasia Gorina , Ilya Perapechka , Tomasz Romańczukiewicz , Yakov Shnir

Results are presented from numerical simulations of the flat-space nonlinear Maxwell-Klein-Gordon-Dirac equations. The introduction of a boson-fermion interaction allows a scalar vortex to act as a harmonic trap that can confine massive…

High Energy Physics - Phenomenology · Physics 2025-12-10 Ethan P. Honda

By methods of numerical simulation the interaction of 180-degree domain walls with oscillating solitons in (2+1)-dimensional O(3) nonlinear sigma model is investigated. A model of the collisions in which there is observed a reflection of…

Pattern Formation and Solitons · Physics 2016-08-11 F. Sh. Shokirov

In this work we examine kink-antikink collisions in two distinct hyperbolic models. The models depend on a deformation parameter, which controls two main characteristics of the potential with two degenerate minima: the height of the barrier…

High Energy Physics - Theory · Physics 2020-02-25 D. Bazeia , Adalto R. Gomes , K. Z. Nobrega , Fabiano C. Simas

We consider the decay of "false kinks," that is, kinks formed in a scalar field theory with a pair of degenerate symmetry-breaking false vacua in 1+1 dimensions. The true vacuum is symmetric. A second scalar field and a peculiar potential…

High Energy Physics - Theory · Physics 2015-07-29 Éric Dupuis , Yan Gobeil , Richard MacKenzie , Luc Marleau , M. B. Paranjape , Y. Ung

We consider a class of topological defects in $(1,1)$-dimensions with a deformed $\phi^4$ kink structure whose stability analysis leads to a Schr\"odinger-like equation with a zero-mode and at least one vibrational (shape) mode. We are…

High Energy Physics - Theory · Physics 2016-10-12 F. C. Simas , Adalto R. Gomes , K. Z. Nobrega , J. C. R. E. Oliveira

The dynamics of the true-vacuum bubbles nucleated during a first-order phase transition is affected by the distribution functions of the particle species in the plasma, driven out-of-equilibrium by the travelling domain wall. An accurate…

High Energy Physics - Phenomenology · Physics 2023-06-14 Stefania De Curtis , Luigi Delle Rose , Andrea Guiggiani , Ángel Gil Muyor , Giuliano Panico

We investigate the dynamics of the kinks that emerge in a one-dimensional scalar field theory with an octic potential containing a quartic minimum and two quadratic minima. We show analytically that kink-antikink and kink-kink pairs…

High Energy Physics - Theory · Physics 2022-04-07 Peru d'Ornellas

We present results from a study of the fine structure of oscillon dynamics in the 3+1 spherically symmetric Klein-Gordon model with a symmetric double-well potential. We show that in addition to the previously understood longevity of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ethan P. Honda , Matthew W. Choptuik