Uniqueness of Inverse Scattering Problem in Local Quantum Physics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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to appear in AOP, 18 pages latex

Scientific paper

10.1016/S0003-4916(03)00114-3

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.

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