Scattering in the Euclidean formulation of relativistic quantum mechanics

Euclidean relativistic quantum mechanics is a formulation of relativistic quantum mechanics based on the Osterwalder-Schrader reconstruction theorem that exploits the logical independence of locality from the rest of the axioms of Euclidean field theory. I discuss the properties of Euclidean Green functions necessary for the existence of M{\o}ller wave operators and the construction of these wave operators in this formalism.