Kinklike structures in scalar field theories: From one-field to two-field models

Bazeia, D.; Losano, L.; Santos, J.

doi:10.1016/j.physleta.2013.04.047

Cited by 26 publications

(61 citation statements)

References 44 publications

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“…As a first example we were able to derive a well-known three-field version for the BNRT model [4]. Another interesting feature is that the new models are automatically satisfied by the solutions of the one-field systems, corroborating the results derived in [21]. The superpotentials here derived are all polynomial, but we also can use this methodology to build three-field models with functional potentials, like combinations involving sineGordon potentials, for instance.…”

Section: Resultssupporting

confidence: 68%

“…Let us start with the socalled deformation method, first presented by Bazeia, Losano and Malbouisson [21]. This method proposes a connection between two one-field Lagrangian densities, which may have the forms…”

Section: Generalitiesmentioning

confidence: 99%

“…Inspired by the deformation method, Bazeia, Losano and Santos [21] introduced the extension method to construct analytical two scalar field models, starting from one-field ones. The advantage of such a methodology is that a possible set of solutions for the equations of motion of the two-field model is exactly formed by the solutions of the one-field systems used in the construction process.…”

Section: Introductionmentioning

confidence: 99%

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Building analytical three-field cosmological models

et al. 2018

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A difficult task to deal with is the analytical treatment of models composed of three real scalar fields, as their equations of motion are in general coupled and hard to integrate. In order to overcome this problem we introduce a methodology to construct three-field models based on the so-called "extension method". The fundamental idea of the procedure is to combine three one-field systems in a non-trivial way, to construct an effective three scalar field model. An interesting scenario where the method can be implemented is with inflationary models, where the Einstein-Hilbert Lagrangian is coupled with the scalar field Lagrangian. We exemplify how a new model constructed from our method can lead to non-trivial behaviors for cosmological parameters.

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Section: Resultssupporting

confidence: 68%

Section: Generalitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Building analytical three-field cosmological models

et al. 2018

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“…Another possible application involves using an integrable model (like the sine Gordon model) as a "seed" theory and in introducing parameter families of deformation functions, such that various consequences of small deformations away from integrability may be investigated [26][27][28] ("quasi-integrability"). Very recently, the deformation procedure was employed to construct joint kink solutions of theories of various coupled scalar fields [29] which, without this procedure, would have been a much more difficult task. Finally, the deformation may also be used to find families of BPS solutions for higher-dimensional field theories after dimensional reduction, i.e., assuming a spherically symmetric ansatz for the fields, see, e.g., [30][31][32][33][34].…”

Section: Jhep08(2013)062mentioning

confidence: 99%

Some aspects of self-duality and generalised BPS theories

Adam

Ferreira

Hora

et al. 2013

J. High Energ. Phys.

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If a scalar field theory in (1+1) dimensions possesses soliton solutions obeying first order BPS equations, then, in general, it is possible to find an infinite number of related field theories with BPS solitons which obey closely related BPS equations. We point out that this fact may be understood as a simple consequence of an appropriately generalised notion of self-duality. We show that this self-duality framework enables us to generalize to higher dimensions the construction of new solitons from already known solutions. By performing simple field transformations our procedure allows us to relate solitons with different topological properties. We present several interesting examples of such solitons in two and three dimensions.Comment: 29 pages, Latex fil

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“…Kink solutions have also been calculated for models coupling the φ 4 and/or sine-Gordon models [94,95,96], models with a real scalar Higgs field and a scalar triplet field [97], models coupled to gravity in warped spacetimes [98,99,100,101], scalar field theories possessing self-dual sectors [102,103,104], etc. In addition, some deformation procedures have been developed, which allows to obtain exact solutions of two-field models from one-field models, see [105].…”

Section: Introductionmentioning

confidence: 99%

Non-topological kink scattering in a two-component scalar field theory model

Izquierdo

2020

Communications in Nonlinear Science and Numerical Simulation

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In this paper the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed. A winding charge is carried by these defects. As a consequence, two different classes of kink scattering processes emerge: (1) collisions between kinks that carry the same winding number and (2) scattering events between kinks with opposite winding number. The variety of scattering channels is very rich and it strongly depends on the collision velocity and the model parameter. For the first type of events, four distinct scattering channels are found: kink reflection (kinks collide and bounce back), one-kink (partial) annihilation (the two non-topological kinks collide causing the annihilation of one half of each kink and the subsequent recombination of the other two halves, giving rise to a new non-topological kink with the opposite winding charge), winding flip kink reflection (kinks collide and emerge with the opposite winding charge) and total kink annihilation (kinks collide and decay to the vacuum configuration). For the second type of events, the scattering channels comprise bion formation (kink and antikink form a long-living bound state), kink-antikink passage (kinks collide and pass each other) and kink-antikink annihilation (kink and antikink collide and decay to the vacuum configuration).

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Kinklike structures in scalar field theories: From one-field to two-field models

Cited by 26 publications

References 44 publications

Building analytical three-field cosmological models

Building analytical three-field cosmological models

Some aspects of self-duality and generalised BPS theories

Non-topological kink scattering in a two-component scalar field theory model

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