A remark on collisions of domain walls in a supersymmetric model

TL;DR

This paper investigates the collision dynamics of parallel domain walls in a supersymmetric model, revealing elastic-like reflections at low velocities and treating internal parameters as dynamic variables.

Contribution

It provides a combined analytical and numerical analysis of domain wall collisions, highlighting the elastic reflection behavior and the dynamical nature of internal parameters.

Findings

Walls reflect elastically at low velocities

Internal parameters can be modeled as dynamical variables

Collision process analyzed via both effective Lagrangian and numerical methods

Abstract

The process of collision of two parallel domain walls in a supersymmetric model is studied both in effective Lagrangian approximation and by numerical solving of the exact classical field problem. For small initial velocities we find that the walls interaction looks like elastic reflection with some delay. It is also shown that in such approximation internal parameter of the wall may be considered as a time-dependent dynamical variable.