Fermions, gauge theories, and the Sinc function representation for Feynman diagrams

We extend our new approach for numeric evaluation of Feynman diagrams to integrals that include fermionic and vector propagators. In this initial discussion we begin by deriving the Sinc function representation for the propagators of spin-1/2 and spin-1 fields and exploring their properties. We show that the attributes of the spin-0 propagator which allowed us to derive the Sine function representation for scalar field Feynman integrals are shared by fields with nonzero spin. We then investigate the application of the Sine function representation to simple QED diagrams, including first order corrections to the propagators and the vertex.