Аннотация:Generation of mass on two-dimensional brane in three-dimensional model with four-fermion interaction
including external gauge field A_3 is considered. In the framework of this model the generated mass
proves to be lighter than Kaluza–Klein modes, thus indicating to a possibility of solving the mass hierarchy
problem. Dependence of the effective potential and the coupling constant on characteristics of
the model such as compactification radius, gauge field and phase shift parameter was also obtained. It is
demonstrated that the generated mass, besides the dynamic part, includes also a kinematic (topological)
contribution, i.e. the Aharonov–Bohm phase.