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Scattering processes in the massive Schwinger model

Christoph Adam

  • Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Institut für theoretische Physik d. Universität Wien, Boltzmanngasse 5, 1090 Wien, Austria

Phys. Rev. D 55, 6299 – Published 15 May, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.6299

Abstract

We derive the (matrix-valued) Feynman rules of the mass perturbation theory and use it for the resummation of the n-point functions with the help of the Dyson-Schwinger equations. We use these results for a short review of the resulting spectrum of the model and for a discussion of scattering processes. We find that in scattering cross sections all the corresponding resonances and higher particle production thresholds of the model are properly taken into account by our resummed mass perturbation theory, without the need of further approximations.

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