Fermions on Colliding Branes

Gary Gibbons, Kei-ichi Maeda, Yu-ichi Takamizu

Published 2006-10-27, updated 2007-02-13Version 2

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.