Fermions on the brane in 6D with non-singular exponential scale factorsP. Midodashvili
Department of Physics, Tskhinvali State University 2 Besiki Str., Gori 383500, Georgia
received 19 April 2004; accepted in final form 22 November 2004
published online 5 January 2005
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.
11.10.Kk - Field theories in dimensions other than four.
04.50.+h - Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity.
11.25.Mj - Compactification and four-dimensional models.
© EDP Sciences 2005