Scattering asymptotic conditions in Euclidean relativistic quantum theory

Abstract

We discuss the formulation of the scattering asymptotic condition as a strong limit in Euclidean quantum theories satisfying the Osterwalder-Schrader axioms. When used with the invariance principle this provides a constructive method to compute scattering observables directly in the Euclidean formulation of the theory, without an explicit analytic continuation.

arXiv comment14 pages

References in corpus (3)

• A Euclidean formulation of relativistic quantum mechanics
• Scattering and reflection positivity in relativistic Euclidean quantum mechanics
• Stability of Covariant Relativistic Quantum Theory

Cited by in corpus (3)

• Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics
• Euclidean formulation of relativistic quantum mechanics of N particles
• Scattering using real-time path integrals