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We show that the observed quark/lepton mass hierarchy can be realizeddynamically on an interval extra dimension with point interactions. In ourmodel, the positions of the point interactions play a crucial role to controlthe quark/lepton mass hierarchy and are determined by the minimization of theCasimir energy. By use of the exact extra-dimensional coordinate-dependentvacuum expectation value of a gauge singlet scalar, we find that there is aparameter set, where the positions of the point interactions are stabilized andfixed, which can reproduce the experimental values of the quark massesprecisely enough, while the charged lepton part is less relevant. We also showthat possible mixings among the charged leptons will improve the situationsignificantly.

Dynamical generation of quark/lepton mass hierarchy in an extra dimension