Form Factors of the Nucleon in a Selfconsistent Chiral Model
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 $π,ρ$ 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 ${\cal L}_{ππρ}, {\cal L}_{ρρρ}, {\cal L}_{ρπA_1}, {\cal L}_{ρA_1 A_1}$.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.