General solutions for some classes of interacting two field kinks

Dutra, A. de Souza

doi:10.1016/j.physletb.2005.08.095

Cited by 52 publications

(124 citation statements)

References 28 publications

(26 reference statements)

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“…According to the same language it is also possible to achieve trapping-bag configurations where a topological kink is trapped by a nontopological bag (see also [9,10] where trapping-bag solutions appear in the framework of the so-called MIT-bag and SLAC-bag models of extended hadrons). The interest of multisoliton solutions in (1 1) dimensions persists even in recent years and various interesting integration methods have been tailored to deal, specifically, with nonlinear multifield equations [11][12][13].…”

Section: Physical Motivationsmentioning

confidence: 99%

Time-dependent gravitating solitons in five-dimensional warped space-times

Giovannini

2007

Phys. Rev. D

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Time-dependent soliton solutions are explicitly derived in a five-dimensional theory endowed with one (warped) extra dimension. Some of the obtained geometries, everywhere well defined and technically regular, smoothly interpolate between two five-dimensional anti-de Sitter space-times for a fixed value of the conformal time coordinate. Time-dependent solutions containing both topological and nontopological sectors are also obtained. Supplementary degrees of freedom can be also included and, in this case, the resulting multisoliton solutions may describe time-dependent kink-antikink systems.

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Section: Physical Motivationsmentioning

confidence: 99%

Time-dependent gravitating solitons in five-dimensional warped space-times

Giovannini

2007

Phys. Rev. D

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“…In this section, we illustrate the approach by introducing a new orbit equation, which differs from the one presented in [32,33] by an arbitrary function of the field . So one can choose the equation, setting hð Þ, that will satisfy the constraints imposed by the Bogomol'nyi-PrasadSommerfeld method.…”

Section: General Orbit Equationmentioning

confidence: 99%

Nonlinear two-field models from orbit equation deformations

Dutra

Goulart

2011

Phys. Rev. D

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“…Este resultadoé de extrema importância para resolvermos as equações de primeira ordem obtidas via método BPS, pois a solução da equação deórbita nos permite, quando possível, desacoplar as equações (13) e (14), o que facilita a determinação de soluções analíticas, como pode ser visto nos diversos modelos estudados em [10]. …”

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“…As soluções analíticas de [10] foram calculadas para λ = μ e também para λ = 4μ, ou seja, para k = 1 e k = 4. Substituindo esses valores de k naúltima equação, chegamos a …”

Section: Método Para Determinar O Comportamento Das Soluções Solitônicasunclassified

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Sólitons e caos em teorias de campos

Santos¹

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ResumoEsta dissertação tem como objetivo principal entender mais profundamente as mais variadas nuances do aparecimento de caos em sistemas de teoria de campos, além de um estudo sobre o comportamento das soluções solitônicas desses sistemas. Apresentamos um método, baseado na estrutura de mínimos de potenciais, a fim de obter informações concretas sobre o comportamento das soluções solitônicas destes potenciais. Verificamos ainda a existência de novas soluções topológicas para um modelo queé aplicado na descrição dos chamados twistons. Essas soluções possuem a particularidade de serem degeneradas, assim, para quebrar essa degenerescência, adicionamos ao potencial inicial um termo perturbativo. Determinamos também, novas soluções topológicas para uma lagrangiana contendo um campo escalar complexo, estudada por Trullinger e Subbaswamy em (Trullinger, S. E.; Subbaswamy, K. R. AbstractThe main objective of this work is a deeper comprehension about the different kinds of the appearing of chaos in field theory´s systems, besides the study about the behavior of these soliton solutions systems. We present a method, based on the structure of potential's minima, to get information about the behavior of the solitons solutions. We calculate new topological solutions for a model that was applied to the description of the so called twistons. These solutions are degenerated and in order to break this degeneracy, we added a perturbative term into the initial potential. We found new topological solutions for a specific Lagrangian that has a complex scalar field, studied by Trullinger and Subbaswamy in (Trullinger, S. E.; Subbaswamy, K. R. Physical Review A 19 (1979) 1340.), and applied the method of Poincaré section in this model checking its chaotic regions.

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General solutions for some classes of interacting two field kinks

Cited by 52 publications

References 28 publications

Time-dependent gravitating solitons in five-dimensional warped space-times

Time-dependent gravitating solitons in five-dimensional warped space-times

Nonlinear two-field models from orbit equation deformations

Sólitons e caos em teorias de campos

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