English

Kink-antikink collision in the supersymmetric $\phi^4$ model

High Energy Physics - Theory 2022-12-09 v2 Pattern Formation and Solitons

Abstract

This paper investigates a model containing ϕ4\phi^4 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\phi^4 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.

Keywords

Cite

@article{arxiv.2205.06869,
  title  = {Kink-antikink collision in the supersymmetric $\phi^4$ model},
  author = {João G. F. Campos and Azadeh Mohammadi},
  journal= {arXiv preprint arXiv:2205.06869},
  year   = {2022}
}