Polarization free quantum fields and interaction

Mar, 2003
16 pages
Published in:
  • Lett.Math.Phys. 64 (2003) 137-154
e-Print:

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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 non-trivial interaction.
  • dimension: 2
  • axiomatic field theory
  • integrability
  • phase space: Hilbert space
  • operator: algebra
  • inverse scattering method
  • S-matrix