分野別セミナー

We consider the approximation of the intermediate vector boson model at low energy by the four-fermion interaction model for the weak interaction of elementary particles. The intermediate vector boson model is described by the Dirac-Proca equations and the four-fermion interaction is described by the nonlinear Dirac equation. The Proca equation is the Maxwell equations with mass term. If the mass of weak boson is sufficiently large, then the intermediate vector boson model is well approximated by the four-fermion interaction model called the Fermi theory, which gives an excellent description of four-fermion coupling phenomena involving the weak interaction at low energy such as the beta decay of a neutron into a proton, an electron and an electron antineutrino. I will talk about how to justify this approximation of the intermediate vector boson model at low energy by the four-fermion interaction in a mathematically rigorsous sense.