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Dispersion relations in the noncommutative \phi^3 and Wess-Zumino model in the Yang-Feldman formalism

Authors
  • Doescher, Claus
  • Zahn, Jochen
Type
Published Article
Publication Date
Oct 13, 2007
Submission Date
May 05, 2006
Identifiers
DOI: 10.1007/s00023-009-0401-4
arXiv ID: hep-th/0605062
Source
arXiv
License
Unknown
External links

Abstract

We study dispersion relations in the noncommutative \phi^3 and Wess-Zumino model in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead to a distortion of the dispersion relation. We find that the strength of this effect is moderate if the scale of noncommutativity is identified with the Planck scale and parameters typical for a Higgs field are employed. The contribution of the nonplanar graphs is calculated rigorously using the framework of oscillatory integrals.

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