Scalar triplet on a domain wall: an exact solution

Gani, Vakhid A.; Lizunova, Mariya A.; Radomskiy, Roman V.

doi:10.1007/jhep04(2016)043

Cited by 31 publications

(35 citation statements)

References 48 publications

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“…For example a two-or three-dimensional domain wall in the direction orthogonal to it can be viewed as a topological soliton (kink) interpolating two different vacua of the model, which are separated by the wall in the two-or three-dimensional world. Besides that, (1+1)-dimensional models can be used as a simplified setup for studying general properties of nonlinear field models [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Multi-kink collisions in the ϕ 6 model

Marjaneh

Gani

Saadatmand

et al. 2017

J. High Energ. Phys.

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We study simultaneous collisions of two, three, and four kinks and antikinks of the φ 6 model at the same spatial point. Unlike the φ 4 kinks, the φ 6 kinks are asymmetric and this enriches the variety of the collision scenarios. In our numerical simulations we observe both reflection and bound state formation depending on the number of kinks and on their spatial ordering in the initial configuration. We also analyze the extreme values of the energy densities and the field gradient observed during the collisions. Our results suggest that very high energy densities can be produced in multi-kink collisions in a controllable manner. Appearance of high energy density spots in multi-kink collisions can be important in various physical applications of the Klein-Gordon model.

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Section: Introductionmentioning

confidence: 99%

Multi-kink collisions in the ϕ 6 model

Marjaneh

Gani

Saadatmand

et al. 2017

J. High Energ. Phys.

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“…The resolution of these equations shows that there exist one-parameter kink families for different topological sectors. 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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“…In this context, the recent interesting and important results on kink-(anti)kink interactions in models which possess kinks with power-law tails (power-law asymptotical behavior of the kink solutions), can be mentioned [31][32][33][34][35]. Moreover, in the context of kinks and their interactions it is also worth to mention recent results on the φ 8 and more complex models [36][37][38][39][40]. Solitons are, in some respects, similar to physical particles.…”

Section: Introductionmentioning

confidence: 99%

Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in 1+1 dimensions

Mohammadi

2020

Annals of Physics

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In this paper we present a new extended complex nonlinear Klein-Gordon Lagrangian density, which bears a single non-topological soliton solution with a specific rest frequency ω s in 1 + 1 dimensions. There is a proper term in the new Lagrangian density, which behaves like a massless spook that surrounds the single soliton solution and opposes any internal changes. In other words, any arbitrary variation in the single soliton solution leads to an increase in the total energy. Moreover, just for the single soliton solution, the general dynamical equations are reduced to those versions of a special type of the standard well-known complex nonlinear Klein-Gordon systems, as its dominant dynamical equations. * physmohammadi@pgu.ac.ir 1 arXiv:1902.02648v5 [physics.class-ph]

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Scalar triplet on a domain wall: an exact solution

Cited by 31 publications

References 48 publications

Multi-kink collisions in the ϕ 6 model

Multi-kink collisions in the ϕ 6 model

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

Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in 1+1 dimensions

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