Abstract
An exact formulation of LSZ field theory is given. It is based on the Wightman axioms, asymptotic completeness, and a technical assumption stating the existence of retarded products of field operators. Reduction formulae are derived directly from the strong asymptotic condition. The GLZ-theorem, which states the conditions under which a given set of retarded functions defines a field theory, is formulated and proved in a rigorous way.
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Steinmann, O. A rigorous formulation of LSZ field theory. Commun.Math. Phys. 10, 245–268 (1968). https://doi.org/10.1007/BF01654234
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DOI: https://doi.org/10.1007/BF01654234