Fermions on Colliding Branes

TL;DR

This paper investigates the dynamics of five-dimensional fermions on colliding branes, revealing that fermion localization depends on collision velocity and coupling, with most remaining localized post-collision.

Contribution

It provides a detailed analysis of fermion behavior during brane collisions, highlighting the dependence on velocity and coupling constants, which was not thoroughly understood before.

Findings

Most fermions remain localized on both branes after collision.

Fermion localization on each brane depends on incident velocity.

Localization sensitivity varies with coupling constants.

Abstract

We study the behaviour of five-dimensional fermions localized on branes, which we describe by domain walls, when two parallel branes collide in a five-dimensional Minkowski background spacetime. We find that most fermions are localized on both branes as a whole even after collision. However, how much fermions are localized on which brane depends sensitively on the incident velocity and the coupling constants unless the fermions exist on both branes.