Uniqueness of Inverse Scattering Problem in Local Quantum Physics

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.

to appear in AOP, 18 pages latex

References in corpus (5)

• Modular localization and Wigner particles
• The Bisognano-Wichmann Theorem for Massive Theories
• Wigner Particle Theory and Local Quantum Physics
• Lightfront holography and area density of entropy associated with localization on wedge-horizons
• The paradigm of the area law and the structure of transversal and longitudinal lightfront degrees of freedom

Cited by in corpus (6)

• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity I (The two antagonistic localizations and their asymptotic compatibility)
• Constructive proposals for QFT based on the crossing property and on lightfront holography {Dedicated to Jacques Bros on the occasion of his 70th birthday}
• A critical look at 50 years particle theory from the perspective of the crossing property
• Localization and the interface between quantum mechanics, quantum field theory and quantum gravity II (The search of the interface between QFT and QG)
• String theory and the crisis of particle physics II or the ascent of metaphoric arguments
• String theory, the crisis in particle physics and the ascent of metaphoric arguments