Fermion Mass Generation via Kaluza—Klein Fermions under the Influence of a Gauge Field within a (2 + 1)-Dimensional Model

摘要

We considered the generation of mass on a two-dimensional brave within a three-dimensional model with four-fermion interaction, including an external gauge field A_3. In the scope of this model, the generated mass proves to be lighter than the masses of the Kaluza—Klein modes. This indicates the possibility of solving the mass hierarchy problem in realistic four-dimensional models. As well, the dependences of the effective potential and the constant of coupling on such characteristics of the model as the radius of compactification, gauge field, and phase-shift parameter were obtained.