•Kink scattering in a (1+1) relativistic two-scalar field theory is analyzed.•Non-topological kinks are analytically identified in the model.•The kinks carry a winding charge.•The collisions between ...kinks (with the same or opposite winding charge) are described.•The dependence of the scattering channels on the collision velocity is analyzed.
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).
In this paper a new version of the DHN (Dashen–Hasslacher–Neveu) formula, which is used to compute the one-loop order kink mass correction in (1+1)-dimensional scalar field theory models, is ...constructed. The new expression is written in terms of the spectral data coming from the supersymmetric partner operator of the second-order small kink fluctuation operator and allows us to compute the kink mass quantum shift in new models for which this calculation was out of reach by means of the old formula.
► A new DHN formula is built using partner operators of the fluctuation operator. ► This formula is applied to compute the one-loop kink mass shift for new models. ► We identify a hierarchy of models whose kink mass shift coincides.
We compute the vacuum fermion current in the (2+1) dimensional Jackiw-Rossi model by using the 1/m expansion. The current is expressed through a weighted η-function with a matrix weight. In the ...presence of such a weight, the usual proof of topological nature of η(0) is no longer applicable. Direct computations confirm the following surprising result; the fermion number induced by vortices in the Jackiw-Rossi model is not topological.
In this paper, zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged U ( ...1 ) nonlinear CP 1 -model. If 2 π n , n ∈ Z , is the quantized magnetic flux of the two species of BPS vortex solutions, 2 n linearly-independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension 2 n of these stringy topological defects is thus locally shown.
In utero transmission of severe acute respiratory syndrome coronavirus 2 infection is a point of debate. We report a case of severe acute respiratory syndrome coronavirus 2 vertical transmission from ...asymptomatic mother, with molecular detection in mother's blood at delivery and neonatal nasopharyngeal swabs at 5 and 28 hours of life and later IgG seroconversion. The newborn was asymptomatic.
The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix ...trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem.
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: \textit{kink reflection} (kinks collide and bounce back), \textit{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), \textit{winding flip kink reflection} (kinks collide and emerge with the opposite winding charge) and \textit{total kink annihilation} (kinks collide and decay to the vacuum configuration). For the second type of events, the scattering channels comprise \textit{bion formation} (kink and antikink form a long-living bound state), \textit{kink-antikink passage} (kinks collide and pass each other) and \textit{kink-antikink annihilation} (kink and antikink collide and decay to the vacuum configuration).
We compute the vacuum fermion current in \((2+1)\) dimensional Jackiw-Rossi model by using the \(1/m\) expansion. The current is expressed through a weighted \(\eta\)-function with a matrix weight. ...In the presence of such a weight, the usual proof of topological nature of \(\eta(0)\) is not longer applicable. Direct computations confirm the following surprising result: the fermion number induced by vortices in the Jackiw-Rossi model is \textit{not} topological.
Solitary Waves in Massive Nonlinear SN-Sigma Models Alonso Izquierdo, Alberto; Ángel González León, Miguel; de la Torre Mayado, Marina
Symmetry, integrability and geometry, methods and applications,
01/2010, Letnik:
6
Journal Article
Recenzirano
Odprti dostop
The solitary waves of massive (1+1)-dimensional nonlinear SN-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix ...trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem.
Symmetry 9 (2016) 91 In this paper zero modes of fluctuation are dissected around the two species
of BPS vortices existing in the critical Higgs phase, where the scalar and
vector meson masses are ...equal, of a gauged $\mathbb{U}(1)$ nonlinear
$\mathbb{CP}^1$-model. If $2\pi n$, $n\in \mathbb{Z}$, is the quantized
magnetic flux of the two species of BPS vortex solutions, $2n$ linearly
independent vortex zero modes for each species are found and described. The
existence of two species of moduli spaces of dimension $2n$ of these stringy
topological defects is thus locally shown.
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