Euclidean relativistic quantum mechanics - scattering asymptotic conditions
W. N. Polyzou, Gordon Aiello

TL;DR
This paper explores how to formulate scattering asymptotic conditions within a relativistic quantum framework using Euclidean Green functions, aiming to improve understanding of particle interactions.
Contribution
It introduces a method to define scattering asymptotics in relativistic quantum mechanics based on Euclidean Green functions, bridging a gap in existing formulations.
Findings
Provides a new formulation for scattering asymptotics in Euclidean quantum theories
Clarifies the role of reflection positivity in scattering processes
Lays groundwork for further development of relativistic quantum scattering theory
Abstract
We discuss the formulation of the scattering asymptotic condition in a relativistic quantum theory formulated in terms of reflection positive Euclidean Green functions.
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