# Polarization-Free Quantum Fields and Interaction

March 07, 2003

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
non-trivial interaction.

Keywords:

two-dimensional models, integrable models, constructive QFT, wedge-local nets, inverse scattering