Scattering asymptotic conditions in Euclidean relativistic quantum theory

2015/12/10 by Gordon J. Aiello, Gordon Aiello, W. N. Polyzou +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Advanced Operator Algebra Research #Analytic continuation #Axiom #Black Holes and Theoretical Physics #Computer science #Constructive #Continuation #Euclidean geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Physics #Quantum #Quantum mechanics #Scattering #Scattering theory #Theoretical physics #hep-lat #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.93.056003

published as Phys. Rev. D 93, 056003 (2016) · 14 pages

arxiv created 2015/12/10 · openalex publication_date 2016/03/07 · arxiv updated 2016/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Axioms for Euclidean Green's functions

Cited by

• Representations of relativistic particles of arbitrary spin in Poincaré, Lorentz, and Euclidean covariant formulations of relativistic quantum mechanics