Uniqueness of Inverse Scattering Problem in Local Quantum Physics

TL;DR

This paper proves a unique solution to the inverse scattering problem in local quantum physics using operator algebra techniques, thermal KMS states, and crossing symmetry, extending previous results from 1+1 dimensional models.

Contribution

It introduces a novel proof of uniqueness for the inverse scattering problem in local quantum physics leveraging operator algebras and thermal states, extending earlier models.

Findings

Establishes a uniqueness theorem for inverse scattering in local quantum physics.

Utilizes thermal KMS states and crossing symmetry as key mathematical tools.

Extends properties known from 1+1 dimensional factorizing models to a broader setting.

Abstract

It is shown that the operator algebraic setting of local quantum physics leads to a uniqueness proof for the inverse scattering problem. The important mathematical tool is the thermal KMS aspect of wedge-localized operator algebras and its strengthening by the requirement of crossing symmetry for generalized formfactors. The theorem extends properties which were previously seen in d=1+1 factorizing models.