Europhys. Lett.
Volume 69, Number 3, February 2005
Page(s) 346 - 352
Section The physics of elementary particles and fields
Published online 05 January 2005
Europhys. Lett., 69 (3), pp. 346-352 (2005)
DOI: 10.1209/epl/i2004-10360-9

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

P. 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