Kink-antikink collision in the supersymmetric 𝜙4 model

Abstract

This paper investigates a model containing 𝜙4 kinks interacting with fermions. The fermion back-reaction is included in the equations of motion, which affects the kink-antikink collisions. We show that the fermion field generates a force that can be either attractive or repulsive. Moreover, we investigate three different scenarios, which exhibit a wide variety of behaviors, including the usual scenarios observed in the 𝜙4 model as well as the formation of two oscillons, reflection without contact, one-bounce resonance windows, and the creation of kink-antikink pairs. We also find evidence that the fermion field can store part of the energy responsible for the energy exchange mechanism.

Quiescent Optical Solitons with Kudryashov’s Generalized Quintuple-Power and Nonlocal Nonlinearity Having Nonlinear Chromatic Dispersion

“…It is not out of place to mention that kink solitons are special cases of topological solitons [23][24][25]. This has also been indicated in additional works [26,27]. Additionally, dark solitons, that are also known as topological solitons, will be revealed in this work [28].…”

Resonance mediated by fermions in kink-antikink collisions

“…Recently, the kink-antikink collisions with fermion back-reaction were analyzed for the first time in ref. [58]. It was shown that the interaction could be strongly altered by the back-reaction as well.…”

“…For this reason, the fermion can exchange energy with the kink. On the other hand, had we started with a fermion bound only to the kink (or the antikink) at the zero mode, the back-reaction would vanish during the whole evolution of the system [58].…”

Fermionic spectral walls in kink collisions

“…Thus in [23][24][25][26] the transfer of fermions in kink-antikink (or in general, brane collisions) or in kink-impurity was studied, but without back reaction. However, it has only been very recently realized that the back reaction may have a very nontrivial effect on static [28][29][30] as well as on dynamical properties of kinks [31,32]. In particular, in [31], it was shown that the fermion field generates a force, either attractive or repulsive, depending on how one distributes the fermion field on the kink and antikink.…”

“…However, it has only been very recently realized that the back reaction may have a very nontrivial effect on static [28][29][30] as well as on dynamical properties of kinks [31,32]. In particular, in [31], it was shown that the fermion field generates a force, either attractive or repulsive, depending on how one distributes the fermion field on the kink and antikink. Thus, resonance windows in the kink-antikink collisions in the supersymmetric φ 4 model could be highly affected by the presence of the fermion.…”