Fermions on the brane in 6D with non-singular exponential scale factors

Department of Physics, Tskhinvali State University 2 Besiki Str., Gori 383500, Georgia

Corresponding author: midodashvili@hotmail.com

Received: 19 April 2004
Accepted: 22 November 2004

Abstract

We introduce new realistic brane solutions with exponential scale factors in the 6D space-time. We show that for these solutions the zero modes of all bulk fields are sharply localized at different positions on the brane and have “Gaussian shape” wave functions in the extra space. We also explicitly show that in the model there are cases when exactly three fermion generations naturally arise only through gravity. Because localized fermion modes are also stuck at different positions in the extra space, there is the possibility to provide a framework for naturally explaining the fermion mass hierarchy in terms of higher-dimensional geography.