Introduction to quantum field theory exhibiting interaction

Abstract

This note is an introduction to methods of construction for Hilbert space realizations of relativistic quantum physics. The realizations satisfy a revision to Wightman's functional analytic axioms and exhibit interaction in physical spacetimes. The local commutativity, relativistic invariance, positive energy and Hilbert space realization axioms are satisfied. The revision eliminates conjecture that a real quantum field is necessarily a Hermitian Hilbert space operator. The resulting explicit scattering cross sections coincide with the first contributing order from Feynman series for a neutral scalar field.