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Scattering and reflection positivity in relativistic Euclidean quantum mechanics

Scattering and reflection positivity in relativistic Euclidean quantum mechanics

In this paper I exhibit a class of reflection-positive Euclidean invariant four-point functions that can be used to formulate a Poincar\'e invariant quantum theory. I demonstrate the existence of scattering wave operators, which can be calculated without analytic continuation in this representation.