Scattering in a Euclidean formulation of relativistic quantum mechanics

Abstract

A Euclidean formulation of relativistic quantum mechanics is discussed. Representations of the Hilbert space inner product and Poincaré generators are all expressed in terms of Euclidean space-time variables. The formulation does not require analytic continuation and can be used to directly calculate scattering observables. A toy model is used to demonstrate the feasibility of performing scattering calculations using the suggested computational methods.

Comments: 8 pages, Contribution to The 36th Annual International Symposium on Lattice Field Theory