Gravitational origin of quark masses in an extra-dimensional brane world

Using the warped extra dimension geometry of the many-brane extension of the Randall–Sundrum solution, we find a natural explanation for the observed quark masses of the three Standard Model (SM) generations. Localizing massless SM matter generations on neighboring 3-branes in an extra-dimensional world leads to phenomenologically acceptable effective four-dimensional masses arising from the coupling of the fermion field with the background metric. Thus this geometry can simultaneously address the gauge and quark mass hierarchy problems.