Form Factors of the Nucleon in a Selfconsistent Chiral Model

Abstract

In the present paper we extend the Schwinger model of the nucleon to the inclusion of loop corrections. Starting from a chiral model of nucleon and delta for the mesons $\pi,\rho$ and $A_1$ we extend our nonperturbative sefconsistent regularisation scheme to the calculation of the nucleon form factors. Chiral symmetry requires loops according to the interactions ${\cal L}_{\pi\pi\rho}, {\cal L}_{\rho\rho\rho}, {\cal L}_{\rho\pi A_1}, {\cal L}_{\rho A_1 A_1}$.The coupling constants are strictly introduced by chiral symmetry. The use of low energy theorems and SU(3) relations allow an otherwise parameterfree calculation of the form factors of the nucleon.