Vakhid A. Gani

Kink interactions in the (1+1)-dimensional

We study kink scattering processes in the ( 1 + 1 ) -dimensional φ 6 model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the colliding kinks. These critical velocities distinguish different regimes of collisions. The exact equation of motion for the φ 6 model is also solved numerically with the same initial conditions. We discuss advantages and disadvantages of the collective coordinate approximation, and also outline its applicability limits. Resonance phenomena and the so-called escape windows are also observed in the kink collisions.

\varphi^6

A bstractWe study a model with a real scalar Higgs field and a scalar triplet field that allows existence of a topological defect — a domain wall. The wall breaks the global O(3) symmetry of the model, which gives rise to non-Abelian orientational degrees of freedom. We found an exact analytic solution that describes a domain wall with a localized configuration of the triplet field on it. This solution enables one to calculate contributions to the action from the orientational and translational degrees of freedom of the triplet field. We also study the linear stability of the domain wall with the triplet field switched off. We obtain that degrees of freedom localized on the wall can appear or do not appear depending on the parameters of the model.

model

A self-consistent solution for a fermion coupled to static scalar field in the form of a kink (domain wall) is discussed. In particular, the case when the fermion occupies an excited nonzero frequency level in the presence of the domain-wall field is studied. The effect of the domain-wall profile distortion is calculated analytically.

Scalar triplet on a domain wall: an exact solution

We consider the scattering of kinks of the sinh-deformed

Scattering of kinks of the sinh-deformed \(\varphi ^4\) model

varphi ^4

Stable branches of a solution for a fermion on domain wall

φ4 model, which is obtained from the well-known

Does the multiple-scattering series in the pion-deuteron scattering actually converge?

varphi ^4