Scattering asymptotic conditions in Euclidean relativistic quantum theory

TL;DR

This paper presents a method to compute scattering observables directly in Euclidean quantum theories using asymptotic conditions and the invariance principle, avoiding explicit analytic continuation.

Contribution

It introduces a constructive approach to determine scattering observables in Euclidean quantum theories based on asymptotic conditions and the invariance principle.

Findings

Provides a strong limit formulation of scattering asymptotic conditions in Euclidean theories.

Enables direct computation of scattering observables without analytic continuation.

Offers a constructive method aligned with Osterwalder-Schrader axioms.

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.