Abstract
A new approach to the inverse scattering problem proposed by Schroer, is applied to two-dimensional integrable quantum field theories. For any two-particle S-matrix S 2 which is analytic in the physical sheet, quantum fields are constructed which are localizable in wedge-shaped regions of Minkowski space and whose two-particle scattering is described by the given S 2. These fields are polarization-free in the sense that they create one-particle states from the vacuum without polarization clouds. Thus they provide examples of temperate polarization-free generators in the presence of nontrivial interaction.
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Lechner, G. Polarization-Free Quantum Fields and Interaction. Letters in Mathematical Physics 64, 137–154 (2003). https://doi.org/10.1023/A:1025772304804
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DOI: https://doi.org/10.1023/A:1025772304804